45008460 has 216 divisors, whose sum is σ = 165328800. Its totient is φ = 10287648.

The previous prime is 45008459. The next prime is 45008477. The reversal of 45008460 is 6480054.

45008460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45008460² = 4051522943143200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6429777 + ... + 6429783.

Almost surely, 2^45008460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45008460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82664400).

45008460 is an abundant number, since it is smaller than the sum of its proper divisors (120320340).

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

45008460 is an frugal number, since it uses more digits than its factorization.

45008460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45008460 is about 6708.8344740350. The cubic root of 45008460 is about 355.7116189170.

The spelling of 45008460 in words is "forty-five million, eight thousand, four hundred sixty".