45942720 has 56 divisors (see below), whose sum is σ = 145871184. Its totient is φ = 12251136.

The previous prime is 45942719. The next prime is 45942727. The reversal of 45942720 is 2724954.

It is a super-2 number, since 2×45942720² = 4221467041996800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45942727) 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, 22969 + ... + 24888.

Almost surely, 2^45942720 is an apocalyptic number.

45942720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45942720 is an abundant number, since it is smaller than the sum of its proper divisors (99928464).

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

45942720 is a wasteful number, since it uses less digits than its factorization.

45942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47877 (or 47867 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 45942720 is about 6778.1059301253. The cubic root of 45942720 is about 358.1560028775.

The spelling of 45942720 in words is "forty-five million, nine hundred forty-two thousand, seven hundred twenty".