956441304 has 384 divisors, whose sum is σ = 3478464000. Its totient is φ = 237758976.

The previous prime is 956441293. The next prime is 956441329. The reversal of 956441304 is 403144659.

956441304 is a `hidden beast` number, since 9 + 5 + 644 + 1 + 3 + 0 + 4 = 666.

It is a super-4 number, since 4×956441304⁴ (a number of 37 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4854934 + ... + 4855130.

It is an arithmetic number, because the mean of its divisors is an integer number (9058500).

Almost surely, 2^956441304 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 956441304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739232000).

956441304 is an abundant number, since it is smaller than the sum of its proper divisors (2522022696).

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

956441304 is a wasteful number, since it uses less digits than its factorization.

956441304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 956441304 is about 30926.3852397916. The cubic root of 956441304 is about 985.2643622061.

The spelling of 956441304 in words is "nine hundred fifty-six million, four hundred forty-one thousand, three hundred four".