45648456 has 128 divisors (see below), whose sum is σ = 136857600. Its totient is φ = 12418560.

The previous prime is 45648397. The next prime is 45648479. The reversal of 45648456 is 65484654.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512860 + ... + 512948.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 2^45648456 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 45648456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

45648456 is an abundant number, since it is smaller than the sum of its proper divisors (91209144).

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

45648456 is a wasteful number, since it uses less digits than its factorization.

45648456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 45648456 is about 6756.3641109697. The cubic root of 45648456 is about 357.3896991292.

The spelling of 45648456 in words is "forty-five million, six hundred forty-eight thousand, four hundred fifty-six".