45884880 has 200 divisors, whose sum is σ = 163213512. Its totient is φ = 11943936.

The previous prime is 45884857. The next prime is 45884897. The reversal of 45884880 is 8848854.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 41062464 = 2196^2 + 6408^2 .

It is a super-2 number, since 2×45884880² = 4210844425228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 472992 + ... + 473088.

Almost surely, 2^45884880 is an apocalyptic number.

45884880 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 45884880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81606756).

45884880 is an abundant number, since it is smaller than the sum of its proper divisors (117328632).

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

45884880 is a wasteful number, since it uses less digits than its factorization.

45884880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 45884880 is about 6773.8379077152. The cubic root of 45884880 is about 358.0056385201.

It can be divided in two parts, 45884 and 880, that added together give a palindrome (46764).

The spelling of 45884880 in words is "forty-five million, eight hundred eighty-four thousand, eight hundred eighty".