45962720 has 48 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 18200064.

The previous prime is 45962701. The next prime is 45962731. The reversal of 45962720 is 2726954.

It is a super-2 number, since 2×45962720² = 4225143259596800, which contains 22 as substring.

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, 15086 + ... + 17874.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^45962720 is an apocalyptic number.

45962720 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 45962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

45962720 is an abundant number, since it is smaller than the sum of its proper divisors (63717760).

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

45962720 is a wasteful number, since it uses less digits than its factorization.

45962720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 45962720 is about 6779.5811080037. The cubic root of 45962720 is about 358.2079667206.

The spelling of 45962720 in words is "forty-five million, nine hundred sixty-two thousand, seven hundred twenty".