201878400 has 192 divisors, whose sum is σ = 704620080. Its totient is φ = 50626560.

The previous prime is 201878381. The next prime is 201878419. The reversal of 201878400 is 4878102.

It is an interprime number because it is at equal distance from previous prime (201878381) and next prime (201878419).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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, 162582 + ... + 163818.

Almost surely, 2^201878400 is an apocalyptic number.

201878400 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 201878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352310040).

201878400 is an abundant number, since it is smaller than the sum of its proper divisors (502741680).

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

201878400 is a wasteful number, since it uses less digits than its factorization.

201878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 201878400 is about 14208.3918864874. The cubic root of 201878400 is about 586.6286706338.

The spelling of 201878400 in words is "two hundred one million, eight hundred seventy-eight thousand, four hundred".