45741800 has 96 divisors (see below), whose sum is σ = 116581080. Its totient is φ = 16588800.

The previous prime is 45741767. The next prime is 45741823. The reversal of 45741800 is 814754.

It can be written as a sum of positive squares in 12 ways, for example, as 2208196 + 43533604 = 1486^2 + 6598^2 .

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, 189680 + ... + 189920.

Almost surely, 2^45741800 is an apocalyptic number.

45741800 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 45741800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58290540).

45741800 is an abundant number, since it is smaller than the sum of its proper divisors (70839280).

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

45741800 is a wasteful number, since it uses less digits than its factorization.

45741800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 45741800 is about 6763.2684406284. The cubic root of 45741800 is about 357.6331354101.

The spelling of 45741800 in words is "forty-five million, seven hundred forty-one thousand, eight hundred".