2453198400 has 420 divisors, whose sum is σ = 9420831552. Its totient is φ = 624983040.

The previous prime is 2453198389. The next prime is 2453198443. The reversal of 2453198400 is 48913542.

2453198400 is a `hidden beast` number, since 245 + 3 + 1 + 9 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2980389 + ... + 2981211.

Almost surely, 2^2453198400 is an apocalyptic number.

2453198400 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 2453198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710415776).

2453198400 is an abundant number, since it is smaller than the sum of its proper divisors (6967633152).

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

2453198400 is a wasteful number, since it uses less digits than its factorization.

2453198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2453198400 is about 49529.7728644095. The cubic root of 2453198400 is about 1348.6861291136.

The spelling of 2453198400 in words is "two billion, four hundred fifty-three million, one hundred ninety-eight thousand, four hundred".