45964506 has 64 divisors (see below), whose sum is σ = 111108096. Its totient is φ = 12398400.

The previous prime is 45964493. The next prime is 45964519. The reversal of 45964506 is 60546954.

It is an interprime number because it is at equal distance from previous prime (45964493) and next prime (45964519).

It is a super-2 number, since 2×45964506² = 4225471623648072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55576 + ... + 56396.

It is an arithmetic number, because the mean of its divisors is an integer number (1736064).

Almost surely, 2^45964506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45964506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55554048).

45964506 is an abundant number, since it is smaller than the sum of its proper divisors (65143590).

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

45964506 is a wasteful number, since it uses less digits than its factorization.

45964506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907.

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 45964506 is about 6779.7128257766. The cubic root of 45964506 is about 358.2126063586.

The spelling of 45964506 in words is "forty-five million, nine hundred sixty-four thousand, five hundred six".