900913453920 has 480 divisors, whose sum is σ = 3351938236416. Its totient is φ = 227542348800.

The previous prime is 900913453907. The next prime is 900913453931. The reversal of 900913453920 is 29354319009.

900913453920 is a `hidden beast` number, since 9 + 0 + 0 + 91 + 3 + 4 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 18858865 + ... + 18906575.

Almost surely, 2^900913453920 is an apocalyptic number.

900913453920 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 900913453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675969118208).

900913453920 is an abundant number, since it is smaller than the sum of its proper divisors (2451024782496).

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

900913453920 is a wasteful number, since it uses less digits than its factorization.

900913453920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47816 (or 47799 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 900913453920 in words is "nine hundred billion, nine hundred thirteen million, four hundred fifty-three thousand, nine hundred twenty".