45753984 has 96 divisors (see below), whose sum is σ = 136631040. Its totient is φ = 15240960.

The previous prime is 45753979. The next prime is 45753997. The reversal of 45753984 is 48935754.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30369 + ... + 31839.

It is an arithmetic number, because the mean of its divisors is an integer number (1423240).

Almost surely, 2^45753984 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 45753984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68315520).

45753984 is an abundant number, since it is smaller than the sum of its proper divisors (90877056).

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

45753984 is an equidigital number, since it uses as much as digits as its factorization.

45753984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1476 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 45753984 is about 6764.1691285774. The cubic root of 45753984 is about 357.6648862033.

The spelling of 45753984 in words is "forty-five million, seven hundred fifty-three thousand, nine hundred eighty-four".