956046400 has 63 divisors (see below), whose sum is σ = 2355518911. Its totient is φ = 381923840.

The previous prime is 956046397. The next prime is 956046407. The reversal of 956046400 is 4640659.

The square root of 956046400 is 30920.

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

It can be written as a sum of positive squares in 4 ways, for example, as 370793536 + 585252864 = 19256^2 + 24192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (956046407) 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 8 ways as a sum of consecutive naturals, for example, 1236414 + ... + 1237186.

Almost surely, 2^956046400 is an apocalyptic number.

956046400 is the 30920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956046400

956046400 is an abundant number, since it is smaller than the sum of its proper divisors (1399472511).

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

956046400 is an frugal number, since it uses more digits than its factorization.

956046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The cubic root of 956046400 is about 985.1287419654.

The spelling of 956046400 in words is "nine hundred fifty-six million, forty-six thousand, four hundred".