45169280 has 128 divisors (see below), whose sum is σ = 119523600. Its totient is φ = 16220160.

The previous prime is 45169247. The next prime is 45169297. The reversal of 45169280 is 8296154.

45169280 = 403² + 404² + ... + 585².

It can be written as a sum of positive squares in 8 ways, for example, as 118336 + 45050944 = 344^2 + 6712^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45169280.

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, 507476 + ... + 507564.

Almost surely, 2^45169280 is an apocalyptic number.

45169280 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 45169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59761800).

45169280 is an abundant number, since it is smaller than the sum of its proper divisors (74354320).

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

45169280 is a wasteful number, since it uses less digits than its factorization.

45169280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 45169280 is about 6720.8094750558. The cubic root of 45169280 is about 356.1347804268.

It can be divided in two parts, 45 and 169280, that multiplied together give a square (7617600 = 2760²).

The spelling of 45169280 in words is "forty-five million, one hundred sixty-nine thousand, two hundred eighty".