45268300 has 72 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 14107200.

The previous prime is 45268291. The next prime is 45268303. The reversal of 45268300 is 386254.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (45268303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4761 + ... + 10639.

It is an arithmetic number, because the mean of its divisors is an integer number (1701280).

Almost surely, 2^45268300 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 45268300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

45268300 is an abundant number, since it is smaller than the sum of its proper divisors (77223860).

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

45268300 is a wasteful number, since it uses less digits than its factorization.

45268300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 45268300 is about 6728.1721143264. The cubic root of 45268300 is about 356.3948297966.

The spelling of 45268300 in words is "forty-five million, two hundred sixty-eight thousand, three hundred".