45760920 has 128 divisors (see below), whose sum is σ = 143700480. Its totient is φ = 11648000.

The previous prime is 45760909. The next prime is 45760951. The reversal of 45760920 is 2906754.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 349255 + ... + 349385.

It is an arithmetic number, because the mean of its divisors is an integer number (1122660).

Almost surely, 2^45760920 is an apocalyptic number.

45760920 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 45760920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850240).

45760920 is an abundant number, since it is smaller than the sum of its proper divisors (97939560).

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

45760920 is a wasteful number, since it uses less digits than its factorization.

45760920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 45760920 is about 6764.6818106989. The cubic root of 45760920 is about 357.6829584970.

The spelling of 45760920 in words is "forty-five million, seven hundred sixty thousand, nine hundred twenty".