45348680 has 64 divisors (see below), whose sum is σ = 112901040. Its totient is φ = 16284672.

The previous prime is 45348679. The next prime is 45348701. The reversal of 45348680 is 8684354.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13380964 + 31967716 = 3658^2 + 5654^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18062 + ... + 20418.

Almost surely, 2^45348680 is an apocalyptic number.

45348680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45348680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56450520).

45348680 is an abundant number, since it is smaller than the sum of its proper divisors (67552360).

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

45348680 is a wasteful number, since it uses less digits than its factorization.

45348680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 45348680 is about 6734.1428556276. The cubic root of 45348680 is about 356.6056475033.

The spelling of 45348680 in words is "forty-five million, three hundred forty-eight thousand, six hundred eighty".