45516480 has 112 divisors (see below), whose sum is σ = 153070560. Its totient is φ = 11419648.

The previous prime is 45516479. The next prime is 45516487. The reversal of 45516480 is 8461554.

It is not an unprimeable number, because it can be changed into a prime (45516487) 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 15 ways as a sum of consecutive naturals, for example, 14926 + ... + 17714.

Almost surely, 2^45516480 is an apocalyptic number.

45516480 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 45516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76535280).

45516480 is an abundant number, since it is smaller than the sum of its proper divisors (107554080).

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

45516480 is a wasteful number, since it uses less digits than its factorization.

45516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 45516480 is about 6746.5902498966. The cubic root of 45516480 is about 357.0449456550.

The spelling of 45516480 in words is "forty-five million, five hundred sixteen thousand, four hundred eighty".