200798400 has 168 divisors, whose sum is σ = 718864704. Its totient is φ = 48665600.

The previous prime is 200798387. The next prime is 200798413. The reversal of 200798400 is 4897002.

It is an interprime number because it is at equal distance from previous prime (200798387) and next prime (200798413).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50899 + ... + 54701.

Almost surely, 2^200798400 is an apocalyptic number.

200798400 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 200798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359432352).

200798400 is an abundant number, since it is smaller than the sum of its proper divisors (518066304).

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

200798400 is a wasteful number, since it uses less digits than its factorization.

200798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 200798400 is about 14170.3352112785. The cubic root of 200798400 is about 585.5806930241.

The spelling of 200798400 in words is "two hundred million, seven hundred ninety-eight thousand, four hundred".