45525960 has 48 divisors (see below), whose sum is σ = 147960540. Its totient is φ = 12140160.

The previous prime is 45525943. The next prime is 45525967. The reversal of 45525960 is 6952554.

45525960 is a `hidden beast` number, since 45 + 525 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45400644 + 125316 = 6738^2 + 354^2 .

It is a super-3 number, since 3×45525960³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (45525967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62871 + ... + 63590.

Almost surely, 2^45525960 is an apocalyptic number.

45525960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45525960 is an abundant number, since it is smaller than the sum of its proper divisors (102434580).

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

45525960 is a wasteful number, since it uses less digits than its factorization.

45525960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126478 (or 126471 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 45525960 is about 6747.2927904457. The cubic root of 45525960 is about 357.0697319238.

The spelling of 45525960 in words is "forty-five million, five hundred twenty-five thousand, nine hundred sixty".