904055040 has 576 divisors, whose sum is σ = 3802821120. Its totient is φ = 199065600.

The previous prime is 904055029. The next prime is 904055083. The reversal of 904055040 is 40550409.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 904054995 and 904055013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8950990 + ... + 8951090.

It is an arithmetic number, because the mean of its divisors is an integer number (6602120).

Almost surely, 2^904055040 is an apocalyptic number.

904055040 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 904055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901410560).

904055040 is an abundant number, since it is smaller than the sum of its proper divisors (2898766080).

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

904055040 is a wasteful number, since it uses less digits than its factorization.

904055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 904055040 is about 30067.5080443990. The cubic root of 904055040 is about 966.9372486030.

The spelling of 904055040 in words is "nine hundred four million, fifty-five thousand, forty".