45507840 has 144 divisors (see below), whose sum is σ = 166201728. Its totient is φ = 10395648.

The previous prime is 45507829. The next prime is 45507859. The reversal of 45507840 is 4870554.

It is a congruent number.

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, 26034 + ... + 27726.

Almost surely, 2^45507840 is an apocalyptic number.

45507840 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 45507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83100864).

45507840 is an abundant number, since it is smaller than the sum of its proper divisors (120693888).

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

45507840 is a wasteful number, since it uses less digits than its factorization.

45507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 45507840 is about 6745.9498960487. The cubic root of 45507840 is about 357.0223526401.

The spelling of 45507840 in words is "forty-five million, five hundred seven thousand, eight hundred forty".