45435900 has 144 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 11136000.

The previous prime is 45435899. The next prime is 45435919. The reversal of 45435900 is 953454.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300825 + ... + 300975.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^45435900 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 45435900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

45435900 is an abundant number, since it is smaller than the sum of its proper divisors (97054980).

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

45435900 is a wasteful number, since it uses less digits than its factorization.

45435900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 45435900 is about 6740.6156988809. The cubic root of 45435900 is about 356.8341232857.

The spelling of 45435900 in words is "forty-five million, four hundred thirty-five thousand, nine hundred".