45806480 has 20 divisors (see below), whose sum is σ = 106500252. Its totient is φ = 18322560.

The previous prime is 45806461. The next prime is 45806503. The reversal of 45806480 is 8460854.

It can be written as a sum of positive squares in 2 ways, for example, as 5914624 + 39891856 = 2432^2 + 6316^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45806480.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 286211 + ... + 286370.

Almost surely, 2^45806480 is an apocalyptic number.

45806480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45806480 is an abundant number, since it is smaller than the sum of its proper divisors (60693772).

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

45806480 is a wasteful number, since it uses less digits than its factorization.

45806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572594 (or 572588 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 45806480 is about 6768.0484631835. The cubic root of 45806480 is about 357.8016232908.

The spelling of 45806480 in words is "forty-five million, eight hundred six thousand, four hundred eighty".