45735880 has 32 divisors (see below), whose sum is σ = 103375800. Its totient is φ = 18210816.

The previous prime is 45735863. The next prime is 45735883. The reversal of 45735880 is 8853754.

It can be written as a sum of positive squares in 4 ways, for example, as 42224004 + 3511876 = 6498^2 + 1874^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (45735883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6664 + ... + 11656.

Almost surely, 2^45735880 is an apocalyptic number.

45735880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45735880 is an abundant number, since it is smaller than the sum of its proper divisors (57639920).

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

45735880 is a wasteful number, since it uses less digits than its factorization.

45735880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 45735880 is about 6762.8307682508. The cubic root of 45735880 is about 357.6177062002.

The spelling of 45735880 in words is "forty-five million, seven hundred thirty-five thousand, eight hundred eighty".