45046080 has 84 divisors (see below), whose sum is σ = 154949652. Its totient is φ = 12011520.

The previous prime is 45046063. The next prime is 45046097. The reversal of 45046080 is 8064054.

45046080 is a `hidden beast` number, since 4 + 50 + 4 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45046063) and next prime (45046097).

It can be written as a sum of positive squares in 2 ways, for example, as 34857216 + 10188864 = 5904^2 + 3192^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4941 + ... + 10700.

Almost surely, 2^45046080 is an apocalyptic number.

45046080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45046080 is an abundant number, since it is smaller than the sum of its proper divisors (109903572).

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

45046080 is a wasteful number, since it uses less digits than its factorization.

45046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15664 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45046080 is about 6711.6376541050. The cubic root of 45046080 is about 355.8106976565.

The spelling of 45046080 in words is "forty-five million, forty-six thousand, eighty".