2453200400 has 240 divisors, whose sum is σ = 7001123328. Its totient is φ = 808704000.

The previous prime is 2453200331. The next prime is 2453200411. The reversal of 2453200400 is 40023542.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9052265 + ... + 9052535.

Almost surely, 2^2453200400 is an apocalyptic number.

2453200400 is a gapful number since it is divisible by the number (20) 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 2453200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500561664).

2453200400 is an abundant number, since it is smaller than the sum of its proper divisors (4547922928).

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

2453200400 is a wasteful number, since it uses less digits than its factorization.

2453200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2453200400 is about 49529.7930542820. The cubic root of 2453200400 is about 1348.6864956244.

Adding to 2453200400 its reverse (40023542), we get a palindrome (2493223942).

The spelling of 2453200400 in words is "two billion, four hundred fifty-three million, two hundred thousand, four hundred".