45164880 has 120 divisors (see below), whose sum is σ = 153059400. Its totient is φ = 11934720.

The previous prime is 45164879. The next prime is 45164887. The reversal of 45164880 is 8846154.

45164880 is a `hidden beast` number, since 4 + 5 + 1 + 648 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 42302016 = 1692^2 + 6504^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45164887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107070 + ... + 107490.

It is an arithmetic number, because the mean of its divisors is an integer number (1275495).

Almost surely, 2^45164880 is an apocalyptic number.

45164880 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 45164880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76529700).

45164880 is an abundant number, since it is smaller than the sum of its proper divisors (107894520).

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

45164880 is a wasteful number, since it uses less digits than its factorization.

45164880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45164880 is about 6720.4821255621. The cubic root of 45164880 is about 356.1232161962.

The spelling of 45164880 in words is "forty-five million, one hundred sixty-four thousand, eight hundred eighty".