948632256 has 336 divisors, whose sum is σ = 3310636000. Its totient is φ = 264591360.

The previous prime is 948632231. The next prime is 948632261. The reversal of 948632256 is 652236849.

948632256 is a `hidden beast` number, since 9 + 4 + 8 + 632 + 2 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (622080) is a multiple of the sum of its prime factors (405).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2717970 + ... + 2718318.

Almost surely, 2^948632256 is an apocalyptic number.

948632256 is a gapful number since it is divisible by the number (96) 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 948632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655318000).

948632256 is an abundant number, since it is smaller than the sum of its proper divisors (2362003744).

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

948632256 is a wasteful number, since it uses less digits than its factorization.

948632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 948632256 is about 30799.8742854577. The cubic root of 948632256 is about 982.5755713679.

The spelling of 948632256 in words is "nine hundred forty-eight million, six hundred thirty-two thousand, two hundred fifty-six".