45757000 has 32 divisors (see below), whose sum is σ = 107073720. Its totient is φ = 18302400.

The previous prime is 45756989. The next prime is 45757007. The reversal of 45757000 is 75754.

It can be written as a sum of positive squares in 4 ways, for example, as 7043716 + 38713284 = 2654^2 + 6222^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45757000.

It is not an unprimeable number, because it can be changed into a prime (45757007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21879 + ... + 23878.

Almost surely, 2^45757000 is an apocalyptic number.

45757000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45757000 is an abundant number, since it is smaller than the sum of its proper divisors (61316720).

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

45757000 is a wasteful number, since it uses less digits than its factorization.

45757000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45778 (or 45764 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 45757000 is about 6764.3920643322. The cubic root of 45757000 is about 357.6727448530.

The spelling of 45757000 in words is "forty-five million, seven hundred fifty-seven thousand".