45751300 has 54 divisors (see below), whose sum is σ = 115501722. Its totient is φ = 15684480.

The previous prime is 45751291. The next prime is 45751309. The reversal of 45751300 is 315754.

It is an interprime number because it is at equal distance from previous prime (45751291) and next prime (45751309).

It can be written as a sum of positive squares in 3 ways, for example, as 11669056 + 34082244 = 3416^2 + 5838^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45751309) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 232 + ... + 9568.

Almost surely, 2^45751300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45751300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57750861).

45751300 is an abundant number, since it is smaller than the sum of its proper divisors (69750422).

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

45751300 is a wasteful number, since it uses less digits than its factorization.

45751300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9365 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 45751300 is about 6763.9707273169. The cubic root of 45751300 is about 357.6578923400.

The spelling of 45751300 in words is "forty-five million, seven hundred fifty-one thousand, three hundred".