45588480 has 224 divisors, whose sum is σ = 169858944. Its totient is φ = 10223616.

The previous prime is 45588479. The next prime is 45588481. The reversal of 45588480 is 8488554.

It is an interprime number because it is at equal distance from previous prime (45588479) and next prime (45588481).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45588481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860134 + ... + 860186.

Almost surely, 2^45588480 is an apocalyptic number.

45588480 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 45588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84929472).

45588480 is an abundant number, since it is smaller than the sum of its proper divisors (124270464).

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

45588480 is an equidigital number, since it uses as much as digits as its factorization.

45588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 45588480 is about 6751.9241701903. The cubic root of 45588480 is about 357.2331096859.

The spelling of 45588480 in words is "forty-five million, five hundred eighty-eight thousand, four hundred eighty".