45294480 has 480 divisors, whose sum is σ = 204272640. Its totient is φ = 8709120.

The previous prime is 45294467. The next prime is 45294481. The reversal of 45294480 is 8449254.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (45294481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1053339 + ... + 1053381.

It is an arithmetic number, because the mean of its divisors is an integer number (425568).

Almost surely, 2^45294480 is an apocalyptic number.

45294480 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 45294480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

45294480 is an abundant number, since it is smaller than the sum of its proper divisors (158978160).

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

45294480 is a wasteful number, since it uses less digits than its factorization.

45294480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45294480 is about 6730.1173838203. The cubic root of 45294480 is about 356.4635211217.

It can be divided in two parts, 4529 and 4480, that added together give a palindrome (9009).

The spelling of 45294480 in words is "forty-five million, two hundred ninety-four thousand, four hundred eighty".