45755520 has 64 divisors (see below), whose sum is σ = 145851840. Its totient is φ = 12200960.

The previous prime is 45755519. The next prime is 45755527. The reversal of 45755520 is 2555754.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×45755520² = 4187135220940800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45755527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9996 + ... + 13835.

It is an arithmetic number, because the mean of its divisors is an integer number (2278935).

Almost surely, 2^45755520 is an apocalyptic number.

45755520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45755520 is an abundant number, since it is smaller than the sum of its proper divisors (100096320).

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

45755520 is a wasteful number, since it uses less digits than its factorization.

45755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23853 (or 23841 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 33.

The square root of 45755520 is about 6764.2826670683. The cubic root of 45755520 is about 357.6688885296.

The spelling of 45755520 in words is "forty-five million, seven hundred fifty-five thousand, five hundred twenty".