45946560 has 224 divisors, whose sum is σ = 168249600. Its totient is φ = 10506240.

The previous prime is 45946531. The next prime is 45946573. The reversal of 45946560 is 6564954.

It is a super-2 number, since 2×45946560² = 4222172751667200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200526 + ... + 200754.

Almost surely, 2^45946560 is an apocalyptic number.

45946560 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 45946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84124800).

45946560 is an abundant number, since it is smaller than the sum of its proper divisors (122303040).

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

45946560 is a wasteful number, since it uses less digits than its factorization.

45946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 45946560 is about 6778.3891891806. The cubic root of 45946560 is about 358.1659811050.

The spelling of 45946560 in words is "forty-five million, nine hundred forty-six thousand, five hundred sixty".