45904320 has 560 divisors, whose sum is σ = 212433408. Its totient is φ = 9123840.

The previous prime is 45904249. The next prime is 45904321. The reversal of 45904320 is 2340954.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45904321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995829 + ... + 1995851.

Almost surely, 2^45904320 is an apocalyptic number.

45904320 is a gapful number since it is divisible by the number (40) 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 45904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106216704).

45904320 is an abundant number, since it is smaller than the sum of its proper divisors (166529088).

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

45904320 is a wasteful number, since it uses less digits than its factorization.

45904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45904320 is about 6775.2726882392. The cubic root of 45904320 is about 358.0561900088.

The spelling of 45904320 in words is "forty-five million, nine hundred four thousand, three hundred twenty".