45405200 has 30 divisors (see below), whose sum is σ = 109086954. Its totient is φ = 18161920.

The previous prime is 45405187. The next prime is 45405203. The reversal of 45405200 is 250454.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7311616 + 38093584 = 2704^2 + 6172^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (45405203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56357 + ... + 57156.

Almost surely, 2^45405200 is an apocalyptic number.

45405200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45405200 is an abundant number, since it is smaller than the sum of its proper divisors (63681754).

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

45405200 is a wasteful number, since it uses less digits than its factorization.

45405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113531 (or 113520 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 45405200 is about 6738.3380740358. The cubic root of 45405200 is about 356.7537369552.

Adding to 45405200 its reverse (250454), we get a palindrome (45655654).

The spelling of 45405200 in words is "forty-five million, four hundred five thousand, two hundred".