901358976 has 256 divisors, whose sum is σ = 2929766400. Its totient is φ = 239984640.

The previous prime is 901358963. The next prime is 901359037. The reversal of 901358976 is 679853109.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2416326 + ... + 2416698.

It is an arithmetic number, because the mean of its divisors is an integer number (11444400).

Almost surely, 2^901358976 is an apocalyptic number.

901358976 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 901358976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464883200).

901358976 is an abundant number, since it is smaller than the sum of its proper divisors (2028407424).

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

901358976 is a wasteful number, since it uses less digits than its factorization.

901358976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 901358976 is about 30022.6410563761. The cubic root of 901358976 is about 965.9750946260.

The spelling of 901358976 in words is "nine hundred one million, three hundred fifty-eight thousand, nine hundred seventy-six".