45743200 has 36 divisors (see below), whose sum is σ = 111672540. Its totient is φ = 18296960.

The previous prime is 45743189. The next prime is 45743213. The reversal of 45743200 is 234754.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27790 + ... + 29389.

It is an arithmetic number, because the mean of its divisors is an integer number (3102015).

Almost surely, 2^45743200 is an apocalyptic number.

45743200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45743200 is an abundant number, since it is smaller than the sum of its proper divisors (65929340).

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

45743200 is a wasteful number, since it uses less digits than its factorization.

45743200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57199 (or 57186 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 45743200 is about 6763.3719400902. The cubic root of 45743200 is about 357.6367840151.

Adding to 45743200 its reverse (234754), we get a palindrome (45977954).

The spelling of 45743200 in words is "forty-five million, seven hundred forty-three thousand, two hundred".