45169920 has 144 divisors (see below), whose sum is σ = 160413120. Its totient is φ = 12036096.

The previous prime is 45169919. The next prime is 45169931. The reversal of 45169920 is 2996154.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33907 + ... + 35213.

It is an arithmetic number, because the mean of its divisors is an integer number (1113980).

Almost surely, 2^45169920 is an apocalyptic number.

45169920 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 45169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80206560).

45169920 is an abundant number, since it is smaller than the sum of its proper divisors (115243200).

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

45169920 is a wasteful number, since it uses less digits than its factorization.

45169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 45169920 is about 6720.8570881994. The cubic root of 45169920 is about 356.1364624342.

The spelling of 45169920 in words is "forty-five million, one hundred sixty-nine thousand, nine hundred twenty".