45353880 has 192 divisors, whose sum is σ = 173365920. Its totient is φ = 10137600.

The previous prime is 45353879. The next prime is 45353911. The reversal of 45353880 is 8835354.

45353880 is a `hidden beast` number, since 45 + 3 + 538 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51040 + ... + 51920.

Almost surely, 2^45353880 is an apocalyptic number.

45353880 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 45353880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

45353880 is an abundant number, since it is smaller than the sum of its proper divisors (128012040).

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

45353880 is a wasteful number, since it uses less digits than its factorization.

45353880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 45353880 is about 6734.5289367557. The cubic root of 45353880 is about 356.6192772899.

The spelling of 45353880 in words is "forty-five million, three hundred fifty-three thousand, eight hundred eighty".