901413504 has 96 divisors (see below), whose sum is σ = 2730499200. Its totient is φ = 284649984.

The previous prime is 901413503. The next prime is 901413509. The reversal of 901413504 is 405314109.

901413504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901413503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1297 + ... + 42479.

It is an arithmetic number, because the mean of its divisors is an integer number (28442700).

Almost surely, 2^901413504 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 901413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365249600).

901413504 is an abundant number, since it is smaller than the sum of its proper divisors (1829085696).

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

901413504 is a wasteful number, since it uses less digits than its factorization.

901413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41222 (or 41207 counting only the distinct ones).

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

The square root of 901413504 is about 30023.5491572865. The cubic root of 901413504 is about 965.9945732241.

The spelling of 901413504 in words is "nine hundred one million, four hundred thirteen thousand, five hundred four".