45701800 has 24 divisors (see below), whose sum is σ = 106257150. Its totient is φ = 18280640.

The previous prime is 45701791. The next prime is 45701801. The reversal of 45701800 is 810754.

45701800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 44649124 + 1052676 = 6682^2 + 1026^2 .

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 (45701801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114055 + ... + 114454.

Almost surely, 2^45701800 is an apocalyptic number.

45701800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45701800 is an abundant number, since it is smaller than the sum of its proper divisors (60555350).

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

45701800 is a wasteful number, since it uses less digits than its factorization.

45701800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228525 (or 228516 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 45701800 is about 6760.3106437500. The cubic root of 45701800 is about 357.5288580874.

The spelling of 45701800 in words is "forty-five million, seven hundred one thousand, eight hundred".