956629440 has 560 divisors, whose sum is σ = 3903463872. Its totient is φ = 220299264.

The previous prime is 956629433. The next prime is 956629451. The reversal of 956629440 is 44926659.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5728237 + ... + 5728403.

Almost surely, 2^956629440 is an apocalyptic number.

956629440 is a gapful number since it is divisible by the number (90) 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 956629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951731936).

956629440 is an abundant number, since it is smaller than the sum of its proper divisors (2946834432).

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

956629440 is a wasteful number, since it uses less digits than its factorization.

956629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 956629440 is about 30929.4267648141. The cubic root of 956629440 is about 985.3289598428.

The spelling of 956629440 in words is "nine hundred fifty-six million, six hundred twenty-nine thousand, four hundred forty".