45095700 has 144 divisors (see below), whose sum is σ = 145435136. Its totient is φ = 10713600.

The previous prime is 45095689. The next prime is 45095741. The reversal of 45095700 is 759054.

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, 120714 + ... + 121086.

Almost surely, 2^45095700 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 45095700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72717568).

45095700 is an abundant number, since it is smaller than the sum of its proper divisors (100339436).

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

45095700 is a wasteful number, since it uses less digits than its factorization.

45095700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 45095700 is about 6715.3332009663. Note that the first 3 decimals coincide. The cubic root of 45095700 is about 355.9412961319.

The spelling of 45095700 in words is "forty-five million, ninety-five thousand, seven hundred".