45398880 has 240 divisors, whose sum is σ = 166852224. Its totient is φ = 11612160.

The previous prime is 45398879. The next prime is 45398897. The reversal of 45398880 is 8889354.

45398880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×45398880² = 4122116610508800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401704 + ... + 401816.

Almost surely, 2^45398880 is an apocalyptic number.

45398880 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 45398880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83426112).

45398880 is an abundant number, since it is smaller than the sum of its proper divisors (121453344).

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

45398880 is a wasteful number, since it uses less digits than its factorization.

45398880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 45398880 is about 6737.8690993518. The cubic root of 45398880 is about 356.7371838715.

The spelling of 45398880 in words is "forty-five million, three hundred ninety-eight thousand, eight hundred eighty".