200408672400 has 360 divisors, whose sum is σ = 673588825056. Its totient is φ = 50903193600.

The previous prime is 200408672393. The next prime is 200408672407. The reversal of 200408672400 is 4276804002.

It is an interprime number because it is at equal distance from previous prime (200408672393) and next prime (200408672407).

It is not an unprimeable number, because it can be changed into a prime (200408672407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90969699 + ... + 90971901.

Almost surely, 2^200408672400 is an apocalyptic number.

200408672400 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 200408672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336794412528).

200408672400 is an abundant number, since it is smaller than the sum of its proper divisors (473180152656).

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

200408672400 is a wasteful number, since it uses less digits than its factorization.

200408672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 200408672400 in words is "two hundred billion, four hundred eight million, six hundred seventy-two thousand, four hundred".