45256320 has 224 divisors, whose sum is σ = 163884420. Its totient is φ = 11943936.

The previous prime is 45256319. The next prime is 45256369. The reversal of 45256320 is 2365254.

45256320 is a `hidden beast` number, since 4 + 5 + 25 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 419904 = 6696^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466512 + ... + 466608.

Almost surely, 2^45256320 is an apocalyptic number.

45256320 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 45256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81942210).

45256320 is an abundant number, since it is smaller than the sum of its proper divisors (118628100).

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

45256320 is an frugal number, since it uses more digits than its factorization.

45256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45256320 is about 6727.2817690357. The cubic root of 45256320 is about 356.3633877297.

The spelling of 45256320 in words is "forty-five million, two hundred fifty-six thousand, three hundred twenty".