45579024 has 120 divisors (see below), whose sum is σ = 139470240. Its totient is φ = 14370048.

The previous prime is 45579019. The next prime is 45579029. The reversal of 45579024 is 42097554.

It is an interprime number because it is at equal distance from previous prime (45579019) and next prime (45579029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45579024.

It is not an unprimeable number, because it can be changed into a prime (45579029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73564 + ... + 74180.

It is an arithmetic number, because the mean of its divisors is an integer number (1162252).

Almost surely, 2^45579024 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 45579024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69735120).

45579024 is an abundant number, since it is smaller than the sum of its proper divisors (93891216).

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

45579024 is a wasteful number, since it uses less digits than its factorization.

45579024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 45579024 is about 6751.2238890441. The cubic root of 45579024 is about 357.2084087829.

The spelling of 45579024 in words is "forty-five million, five hundred seventy-nine thousand, twenty-four".