45437200 has 60 divisors (see below), whose sum is σ = 112955940. Its totient is φ = 17543680.

The previous prime is 45437191. The next prime is 45437207. The reversal of 45437200 is 273454.

It can be written as a sum of positive squares in 6 ways, for example, as 63504 + 45373696 = 252^2 + 6736^2 .

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 (45437207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9642 + ... + 13558.

It is an arithmetic number, because the mean of its divisors is an integer number (1882599).

Almost surely, 2^45437200 is an apocalyptic number.

45437200 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 45437200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56477970).

45437200 is an abundant number, since it is smaller than the sum of its proper divisors (67518740).

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

45437200 is a wasteful number, since it uses less digits than its factorization.

45437200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3953 counting only the distinct ones).

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

The square root of 45437200 is about 6740.7121285514. The cubic root of 45437200 is about 356.8375264679.

The spelling of 45437200 in words is "forty-five million, four hundred thirty-seven thousand, two hundred".