45504960 has 112 divisors (see below), whose sum is σ = 146157696. Its totient is φ = 11994112.

The previous prime is 45504959. The next prime is 45504983. The reversal of 45504960 is 6940554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102499 + ... + 102941.

Almost surely, 2^45504960 is an apocalyptic number.

45504960 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 45504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73078848).

45504960 is an abundant number, since it is smaller than the sum of its proper divisors (100652736).

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

45504960 is a wasteful number, since it uses less digits than its factorization.

45504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 45504960 is about 6745.7364312579. The cubic root of 45504960 is about 357.0148209996.

It can be divided in two parts, 45504 and 960, that added together give a palindrome (46464).

The spelling of 45504960 in words is "forty-five million, five hundred four thousand, nine hundred sixty".