45200400 has 120 divisors (see below), whose sum is σ = 165507264. Its totient is φ = 10329600.

The previous prime is 45200377. The next prime is 45200401. The reversal of 45200400 is 400254.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 45200400.

It is not an unprimeable number, because it can be changed into a prime (45200401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5710 + ... + 11090.

Almost surely, 2^45200400 is an apocalyptic number.

45200400 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 45200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82753632).

45200400 is an abundant number, since it is smaller than the sum of its proper divisors (120306864).

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

45200400 is a wasteful number, since it uses less digits than its factorization.

45200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 45200400 is about 6723.1242737287. The cubic root of 45200400 is about 356.2165496447.

Adding to 45200400 its reverse (400254), we get a palindrome (45600654).

The spelling of 45200400 in words is "forty-five million, two hundred thousand, four hundred".