45748200 has 96 divisors (see below), whose sum is σ = 149320800. Its totient is φ = 11554560.

The previous prime is 45748123. The next prime is 45748223. The reversal of 45748200 is 284754.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9394 + ... + 13406.

It is an arithmetic number, because the mean of its divisors is an integer number (1555425).

Almost surely, 2^45748200 is an apocalyptic number.

45748200 is a gapful number since it is divisible by the number (40) 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 45748200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74660400).

45748200 is an abundant number, since it is smaller than the sum of its proper divisors (103572600).

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

45748200 is a wasteful number, since it uses less digits than its factorization.

45748200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 45748200 is about 6763.7415680968. The cubic root of 45748200 is about 357.6498141396.

The spelling of 45748200 in words is "forty-five million, seven hundred forty-eight thousand, two hundred".