45721900 has 144 divisors (see below), whose sum is σ = 122214400. Its totient is φ = 14817600.

The previous prime is 45721883. The next prime is 45721919. The reversal of 45721900 is 912754.

It is a happy number.

45721900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45721900² = 4180984279220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063279 + ... + 1063321.

Almost surely, 2^45721900 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 45721900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61107200).

45721900 is an abundant number, since it is smaller than the sum of its proper divisors (76492500).

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

45721900 is a wasteful number, since it uses less digits than its factorization.

45721900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 45721900 is about 6761.7970984051. The cubic root of 45721900 is about 357.5812650442.

The spelling of 45721900 in words is "forty-five million, seven hundred twenty-one thousand, nine hundred".