714420000 has 630 divisors, whose sum is σ = 3065396103. Its totient is φ = 163296000.

The previous prime is 714419987. The next prime is 714420001. The reversal of 714420000 is 24417.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 165173904 + 549246096 = 12852^2 + 23436^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=18900.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (714420001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 102059997 + ... + 102060003.

Almost surely, 2^714420000 is an apocalyptic number.

714420000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714420000

714420000 is an abundant number, since it is smaller than the sum of its proper divisors (2350976103).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

714420000 is an frugal number, since it uses more digits than its factorization.

714420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 714420000 is about 26728.6363288515. The cubic root of 714420000 is about 893.9595495413.

Multiplying 714420000 by its sum of digits (18), we get a square (12859560000 = 113400²).

714420000 divided by its sum of digits (18) gives a square (39690000 = 6300²).

Adding to 714420000 its reverse (24417), we get a palindrome (714444417).

The spelling of 714420000 in words is "seven hundred fourteen million, four hundred twenty thousand".