45974760 has 96 divisors (see below), whose sum is σ = 149415840. Its totient is φ = 11311872.

The previous prime is 45974741. The next prime is 45974791. The reversal of 45974760 is 6747954.

45974760 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 2×45974760² = 4227357114115200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 19147 + ... + 21413.

It is an arithmetic number, because the mean of its divisors is an integer number (1556415).

Almost surely, 2^45974760 is an apocalyptic number.

45974760 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 45974760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74707920).

45974760 is an abundant number, since it is smaller than the sum of its proper divisors (103441080).

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

45974760 is a wasteful number, since it uses less digits than its factorization.

45974760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 45974760 is about 6780.4690103266. The cubic root of 45974760 is about 358.2392416857.

The spelling of 45974760 in words is "forty-five million, nine hundred seventy-four thousand, seven hundred sixty".