45575424 has 108 divisors (see below), whose sum is σ = 133285152. Its totient is φ = 14976000.

The previous prime is 45575423. The next prime is 45575429. The reversal of 45575424 is 42457554.

It is a happy number.

45575424 is a `hidden beast` number, since 45 + 575 + 42 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45575423) 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, 301749 + ... + 301899.

Almost surely, 2^45575424 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 45575424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66642576).

45575424 is an abundant number, since it is smaller than the sum of its proper divisors (87709728).

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

45575424 is a wasteful number, since it uses less digits than its factorization.

45575424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 45575424 is about 6750.9572654550. The cubic root of 45575424 is about 357.1990039879.

The spelling of 45575424 in words is "forty-five million, five hundred seventy-five thousand, four hundred twenty-four".