45926760 has 96 divisors (see below), whose sum is σ = 151492320. Its totient is φ = 11130240.

The previous prime is 45926753. The next prime is 45926789. The reversal of 45926760 is 6762954.

45926760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 12939 + ... + 16101.

It is an arithmetic number, because the mean of its divisors is an integer number (1578045).

Almost surely, 2^45926760 is an apocalyptic number.

45926760 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 45926760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75746160).

45926760 is an abundant number, since it is smaller than the sum of its proper divisors (105565560).

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

45926760 is a wasteful number, since it uses less digits than its factorization.

45926760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 45926760 is about 6776.9285078124. The cubic root of 45926760 is about 358.1145249107.

The spelling of 45926760 in words is "forty-five million, nine hundred twenty-six thousand, seven hundred sixty".