45677984 has 72 divisors (see below), whose sum is σ = 101352384. Its totient is φ = 20240000.

The previous prime is 45677981. The next prime is 45677993. The reversal of 45677984 is 48977654.

It is not an unprimeable number, because it can be changed into a prime (45677981) 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, 181859 + ... + 182109.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 2^45677984 is an apocalyptic number.

45677984 is a gapful number since it is divisible by the number (44) 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 45677984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50676192).

45677984 is an abundant number, since it is smaller than the sum of its proper divisors (55674400).

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

45677984 is a wasteful number, since it uses less digits than its factorization.

45677984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 50.

The square root of 45677984 is about 6758.5489566918. The cubic root of 45677984 is about 357.4667424683.

The spelling of 45677984 in words is "forty-five million, six hundred seventy-seven thousand, nine hundred eighty-four".