45457968 has 40 divisors (see below), whose sum is σ = 118048000. Its totient is φ = 15073344.

The previous prime is 45457967. The next prime is 45457981. The reversal of 45457968 is 86975454.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45457967) 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 7 ways as a sum of consecutive naturals, for example, 7173 + ... + 11931.

It is an arithmetic number, because the mean of its divisors is an integer number (2951200).

Almost surely, 2^45457968 is an apocalyptic number.

45457968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45457968 is an abundant number, since it is smaller than the sum of its proper divisors (72590032).

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

45457968 is a wasteful number, since it uses less digits than its factorization.

45457968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4963 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 45457968 is about 6742.2524426189. The cubic root of 45457968 is about 356.8918848126.

The spelling of 45457968 in words is "forty-five million, four hundred fifty-seven thousand, nine hundred sixty-eight".