45576960 has 288 divisors, whose sum is σ = 173069568. Its totient is φ = 10076160.

The previous prime is 45576931. The next prime is 45576967. The reversal of 45576960 is 6967554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45576967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549079 + ... + 549161.

It is an arithmetic number, because the mean of its divisors is an integer number (600936).

Almost surely, 2^45576960 is an apocalyptic number.

45576960 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 45576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86534784).

45576960 is an abundant number, since it is smaller than the sum of its proper divisors (127492608).

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

45576960 is a wasteful number, since it uses less digits than its factorization.

45576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 45576960 is about 6751.0710261410. The cubic root of 45576960 is about 357.2030167610.

The spelling of 45576960 in words is "forty-five million, five hundred seventy-six thousand, nine hundred sixty".