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714938400 = 253452111759

714938400 has 720 divisors, whose sum is σ = 3062616480. Its totient is φ = 160358400.

The previous prime is 714938381. The next prime is 714938401. The reversal of 714938400 is 4839417.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×7149384002 = 1022273831589120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (714938401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12117571 + ... + 12117629.

It is an arithmetic number, because the mean of its divisors is an integer number (4253634).

Almost surely, 2714938400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531308240).

714938400 is an abundant number, since it is smaller than the sum of its proper divisors (2347678080).

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

714938400 is a wasteful number, since it uses less digits than its factorization.

714938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 714938400 is about 26738.3320347399. The cubic root of 714938400 is about 894.1757233066.

The spelling of 714938400 in words is "seven hundred fourteen million, nine hundred thirty-eight thousand, four hundred".