45761920 has 32 divisors (see below), whose sum is σ = 109401120. Its totient is φ = 18304512.

The previous prime is 45761917. The next prime is 45761939. The reversal of 45761920 is 2916754.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35112 + ... + 36391.

It is an arithmetic number, because the mean of its divisors is an integer number (3418785).

Almost surely, 2^45761920 is an apocalyptic number.

45761920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45761920 is an abundant number, since it is smaller than the sum of its proper divisors (63639200).

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

45761920 is an equidigital number, since it uses as much as digits as its factorization.

45761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71522 (or 71510 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 45761920 is about 6764.7557236016. The cubic root of 45761920 is about 357.6855639250.

The spelling of 45761920 in words is "forty-five million, seven hundred sixty-one thousand, nine hundred twenty".