45861504 has 64 divisors (see below), whose sum is σ = 131204640. Its totient is φ = 14109696.

The previous prime is 45861481. The next prime is 45861509. The reversal of 45861504 is 40516854.

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

It is not an unprimeable number, because it can be changed into a prime (45861509) 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, 399 + ... + 9585.

Almost surely, 2^45861504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45861504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65602320).

45861504 is an abundant number, since it is smaller than the sum of its proper divisors (85343136).

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

45861504 is a wasteful number, since it uses less digits than its factorization.

45861504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9205 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 45861504 is about 6772.1122258864. The cubic root of 45861504 is about 357.9448330045.

The spelling of 45861504 in words is "forty-five million, eight hundred sixty-one thousand, five hundred four".