45524820 has 96 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 10552960.

The previous prime is 45524807. The next prime is 45524851. The reversal of 45524820 is 2842554.

45524820 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

45524820 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13681 + ... + 16679.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^45524820 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 45524820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

45524820 is an abundant number, since it is smaller than the sum of its proper divisors (99627180).

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

45524820 is a wasteful number, since it uses less digits than its factorization.

45524820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 45524820 is about 6747.2083115908. The cubic root of 45524820 is about 357.0667514786.

The spelling of 45524820 in words is "forty-five million, five hundred twenty-four thousand, eight hundred twenty".