45452880 has 160 divisors (see below), whose sum is σ = 170881920. Its totient is φ = 11013120.

The previous prime is 45452879. The next prime is 45452881. The reversal of 45452880 is 8825454.

45452880 is a `hidden beast` number, since 4 + 54 + 528 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (45452879) and next prime (45452881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45452881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22804 + ... + 24716.

It is an arithmetic number, because the mean of its divisors is an integer number (1068012).

Almost surely, 2^45452880 is an apocalyptic number.

45452880 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 45452880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85440960).

45452880 is an abundant number, since it is smaller than the sum of its proper divisors (125429040).

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

45452880 is a wasteful number, since it uses less digits than its factorization.

45452880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 45452880 is about 6741.8751100862. The cubic root of 45452880 is about 356.8785689684.

The spelling of 45452880 in words is "forty-five million, four hundred fifty-two thousand, eight hundred eighty".