45642900 has 72 divisors (see below), whose sum is σ = 132741504. Its totient is φ = 12108800.

The previous prime is 45642899. The next prime is 45642917. The reversal of 45642900 is 924654.

45642900 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).

45642900 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 23 ways as a sum of consecutive naturals, for example, 105685 + ... + 106115.

It is an arithmetic number, because the mean of its divisors is an integer number (1843632).

Almost surely, 2^45642900 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 45642900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66370752).

45642900 is an abundant number, since it is smaller than the sum of its proper divisors (87098604).

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

45642900 is a wasteful number, since it uses less digits than its factorization.

45642900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 45642900 is about 6755.9529305643. The cubic root of 45642900 is about 357.3751989109.

The spelling of 45642900 in words is "forty-five million, six hundred forty-two thousand, nine hundred".