45264160 has 48 divisors (see below), whose sum is σ = 108033912. Its totient is φ = 17920000.

The previous prime is 45264143. The next prime is 45264179. The reversal of 45264160 is 6146254.

It can be written as a sum of positive squares in 4 ways, for example, as 44036496 + 1227664 = 6636^2 + 1108^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14760 + ... + 17560.

Almost surely, 2^45264160 is an apocalyptic number.

45264160 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 45264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54016956).

45264160 is an abundant number, since it is smaller than the sum of its proper divisors (62769752).

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

45264160 is a wasteful number, since it uses less digits than its factorization.

45264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 45264160 is about 6727.8644457212. The cubic root of 45264160 is about 356.3839648015.

The spelling of 45264160 in words is "forty-five million, two hundred sixty-four thousand, one hundred sixty".