714492900 has 297 divisors, whose sum is σ = 2556305353. Its totient is φ = 173210400.

The previous prime is 714492839. The next prime is 714492901. The reversal of 714492900 is 9294417.

The square root of 714492900 is 26730.

It is a perfect power (a square), and thus also a powerful number.

714492900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 257217444 + 457275456 = 16038^2 + 21384^2 .

It is a tau number, because it is divible by the number of its divisors (297).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (714492901) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 64953895 + ... + 64953905.

Almost surely, 2^714492900 is an apocalyptic number.

714492900 is the 26730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714492900

714492900 is an abundant number, since it is smaller than the sum of its proper divisors (1841812453).

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

714492900 is a wasteful number, since it uses less digits than its factorization.

714492900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 714492900 is about 893.9899552946.

Multiplying 714492900 by its sum of digits (36), we get a square (25721744400 = 160380²).

714492900 divided by its sum of digits (36) gives a square (19847025 = 4455²).

The spelling of 714492900 in words is "seven hundred fourteen million, four hundred ninety-two thousand, nine hundred".