901265400 has 384 divisors, whose sum is σ = 3596198400. Its totient is φ = 203212800.

The previous prime is 901265383. The next prime is 901265413. The reversal of 901265400 is 4562109.

901265400 is a `hidden beast` number, since 9 + 0 + 1 + 2 + 654 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4271295 + ... + 4271505.

It is an arithmetic number, because the mean of its divisors is an integer number (9365100).

Almost surely, 2^901265400 is an apocalyptic number.

901265400 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 901265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798099200).

901265400 is an abundant number, since it is smaller than the sum of its proper divisors (2694933000).

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

901265400 is a wasteful number, since it uses less digits than its factorization.

901265400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 901265400 is about 30021.0825920719. The cubic root of 901265400 is about 965.9416653945.

The spelling of 901265400 in words is "nine hundred one million, two hundred sixty-five thousand, four hundred".