45292760 has 64 divisors (see below), whose sum is σ = 110484000. Its totient is φ = 16644096.

The previous prime is 45292759. The next prime is 45292771. The reversal of 45292760 is 6729254.

45292760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45292760.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 28466 + ... + 30014.

Almost surely, 2^45292760 is an apocalyptic number.

45292760 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 45292760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55242000).

45292760 is an abundant number, since it is smaller than the sum of its proper divisors (65191240).

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

45292760 is a wasteful number, since it uses less digits than its factorization.

45292760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 45292760 is about 6729.9895988033. The cubic root of 45292760 is about 356.4590089824.

The spelling of 45292760 in words is "forty-five million, two hundred ninety-two thousand, seven hundred sixty".