904953840 has 160 divisors (see below), whose sum is σ = 3223888896. Its totient is φ = 205701120.

The previous prime is 904953821. The next prime is 904953857. The reversal of 904953840 is 48359409.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 904953792 and 904953801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322845 + ... + 325635.

Almost surely, 2^904953840 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 904953840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611944448).

904953840 is an abundant number, since it is smaller than the sum of its proper divisors (2318935056).

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

904953840 is a wasteful number, since it uses less digits than its factorization.

904953840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 904953840 is about 30082.4506980399. The cubic root of 904953840 is about 967.2575813664.

The spelling of 904953840 in words is "nine hundred four million, nine hundred fifty-three thousand, eight hundred forty".