45596480 has 56 divisors (see below), whose sum is σ = 109865160. Its totient is φ = 18022400.

The previous prime is 45596471. The next prime is 45596503. The reversal of 45596480 is 8469554.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11397376 + 34199104 = 3376^2 + 5848^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27680 + ... + 29280.

Almost surely, 2^45596480 is an apocalyptic number.

45596480 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 45596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54932580).

45596480 is an abundant number, since it is smaller than the sum of its proper divisors (64268680).

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

45596480 is a wasteful number, since it uses less digits than its factorization.

45596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 45596480 is about 6752.5165679175. The cubic root of 45596480 is about 357.2540045678.

The spelling of 45596480 in words is "forty-five million, five hundred ninety-six thousand, four hundred eighty".