45309880 has 128 divisors (see below), whose sum is σ = 130222080. Its totient is φ = 13777920.

The previous prime is 45309853. The next prime is 45309907. The reversal of 45309880 is 8890354.

It is an interprime number because it is at equal distance from previous prime (45309853) and next prime (45309907).

It is a super-2 number, since 2×45309880² = 4105970451228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144604 + ... + 144916.

It is an arithmetic number, because the mean of its divisors is an integer number (1017360).

Almost surely, 2^45309880 is an apocalyptic number.

45309880 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 45309880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65111040).

45309880 is an abundant number, since it is smaller than the sum of its proper divisors (84912200).

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

45309880 is a wasteful number, since it uses less digits than its factorization.

45309880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 45309880 is about 6731.2613973905. The cubic root of 45309880 is about 356.5039154200.

The spelling of 45309880 in words is "forty-five million, three hundred nine thousand, eight hundred eighty".