45804960 has 192 divisors, whose sum is σ = 167650560. Its totient is φ = 11658240.

The previous prime is 45804959. The next prime is 45804971. The reversal of 45804960 is 6940854.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99130 + ... + 99590.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 2^45804960 is an apocalyptic number.

45804960 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 45804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83825280).

45804960 is an abundant number, since it is smaller than the sum of its proper divisors (121845600).

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

45804960 is a wasteful number, since it uses less digits than its factorization.

45804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45804960 is about 6767.9361699118. The cubic root of 45804960 is about 357.7976655940.

It can be divided in two parts, 45804 and 960, that added together give a palindrome (46764).

The spelling of 45804960 in words is "forty-five million, eight hundred four thousand, nine hundred sixty".