45282920 has 64 divisors (see below), whose sum is σ = 106704000. Its totient is φ = 17273088.

The previous prime is 45282893. The next prime is 45282943. The reversal of 45282920 is 2928254.

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, 119291 + ... + 119669.

It is an arithmetic number, because the mean of its divisors is an integer number (1667250).

Almost surely, 2^45282920 is an apocalyptic number.

45282920 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 45282920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53352000).

45282920 is an abundant number, since it is smaller than the sum of its proper divisors (61421080).

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

45282920 is a wasteful number, since it uses less digits than its factorization.

45282920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 45282920 is about 6729.2585029853. The cubic root of 45282920 is about 356.4331931516.

The spelling of 45282920 in words is "forty-five million, two hundred eighty-two thousand, nine hundred twenty".