45475920 has 180 divisors, whose sum is σ = 177795540. Its totient is φ = 10386432.

The previous prime is 45475909. The next prime is 45475933. The reversal of 45475920 is 2957454.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 18352656 = 5208^2 + 4284^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 34636 + ... + 35924.

It is an arithmetic number, because the mean of its divisors is an integer number (987753).

Almost surely, 2^45475920 is an apocalyptic number.

45475920 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 45475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88897770).

45475920 is an abundant number, since it is smaller than the sum of its proper divisors (132319620).

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

45475920 is a wasteful number, since it uses less digits than its factorization.

45475920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 45475920 is about 6743.5836170392. The cubic root of 45475920 is about 356.9388591950.

The spelling of 45475920 in words is "forty-five million, four hundred seventy-five thousand, nine hundred twenty".