45905280 has 64 divisors (see below), whose sum is σ = 146329200. Its totient is φ = 12240896.

The previous prime is 45905269. The next prime is 45905291. The reversal of 45905280 is 8250954.

It is an interprime number because it is at equal distance from previous prime (45905269) and next prime (45905291).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) 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 7 ways as a sum of consecutive naturals, for example, 10035 + ... + 13874.

Almost surely, 2^45905280 is an apocalyptic number.

45905280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45905280 is an abundant number, since it is smaller than the sum of its proper divisors (100423920).

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

45905280 is a wasteful number, since it uses less digits than its factorization.

45905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23931 (or 23919 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 45905280 is about 6775.3435337258. The cubic root of 45905280 is about 358.0586860088.

It can be divided in two parts, 4590 and 5280, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 45905280 in words is "forty-five million, nine hundred five thousand, two hundred eighty".