45965790 has 96 divisors (see below), whose sum is σ = 136334016. Its totient is φ = 10644480.

The previous prime is 45965767. The next prime is 45965827. The reversal of 45965790 is 9756954.

It is a happy number.

45965790 is a `hidden beast` number, since 4 + 596 + 57 + 9 + 0 = 666.

It is a super-2 number, since 2×45965790² = 4225707700648200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 18735 + ... + 21045.

It is an arithmetic number, because the mean of its divisors is an integer number (1420146).

Almost surely, 2^45965790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45965790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68167008).

45965790 is an abundant number, since it is smaller than the sum of its proper divisors (90368226).

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

45965790 is a wasteful number, since it uses less digits than its factorization.

45965790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 45965790 is about 6779.8075193917. The cubic root of 45965790 is about 358.2159418359.

The spelling of 45965790 in words is "forty-five million, nine hundred sixty-five thousand, seven hundred ninety".