45757488 has 160 divisors (see below), whose sum is σ = 146276352. Its totient is φ = 12038400.

The previous prime is 45757469. The next prime is 45757507. The reversal of 45757488 is 88475754.

It is an interprime number because it is at equal distance from previous prime (45757469) and next prime (45757507).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 239473 + ... + 239663.

Almost surely, 2^45757488 is an apocalyptic number.

45757488 is a gapful number since it is divisible by the number (48) 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 45757488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73138176).

45757488 is an abundant number, since it is smaller than the sum of its proper divisors (100518864).

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

45757488 is a wasteful number, since it uses less digits than its factorization.

45757488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 45757488 is about 6764.4281354746. The cubic root of 45757488 is about 357.6740163792.

The spelling of 45757488 in words is "forty-five million, seven hundred fifty-seven thousand, four hundred eighty-eight".