45757840 has 20 divisors (see below), whose sum is σ = 106387164. Its totient is φ = 18303104.

The previous prime is 45757813. The next prime is 45757843. The reversal of 45757840 is 4875754.

It can be written as a sum of positive squares in 2 ways, for example, as 8596624 + 37161216 = 2932^2 + 6096^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 45757793 and 45757802.

It is not an unprimeable number, because it can be changed into a prime (45757843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 285907 + ... + 286066.

Almost surely, 2^45757840 is an apocalyptic number.

45757840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45757840 is an abundant number, since it is smaller than the sum of its proper divisors (60629324).

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

45757840 is a wasteful number, since it uses less digits than its factorization.

45757840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571986 (or 571980 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The square root of 45757840 is about 6764.4541538841. The cubic root of 45757840 is about 357.6749335401.

The spelling of 45757840 in words is "forty-five million, seven hundred fifty-seven thousand, eight hundred forty".