45975820 has 96 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 14883840.

The previous prime is 45975791. The next prime is 45975841. The reversal of 45975820 is 2857954.

It is a super-2 number, since 2×45975820² = 4227552049344800, which contains 22 as substring.

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, 70737 + ... + 71383.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 2^45975820 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 45975820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

45975820 is an abundant number, since it is smaller than the sum of its proper divisors (71597300).

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

45975820 is a wasteful number, since it uses less digits than its factorization.

45975820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 45975820 is about 6780.5471755604. The cubic root of 45975820 is about 358.2419948679.

The spelling of 45975820 in words is "forty-five million, nine hundred seventy-five thousand, eight hundred twenty".