201556400 has 60 divisors (see below), whose sum is σ = 485912352. Its totient is φ = 80344320.

The previous prime is 201556393. The next prime is 201556423. The reversal of 201556400 is 4655102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146114 + ... + 147486.

Almost surely, 2^201556400 is an apocalyptic number.

201556400 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 201556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242956176).

201556400 is an abundant number, since it is smaller than the sum of its proper divisors (284355952).

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

201556400 is a wasteful number, since it uses less digits than its factorization.

201556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 201556400 is about 14197.0560328541. The cubic root of 201556400 is about 586.3166099228.

The spelling of 201556400 in words is "two hundred one million, five hundred fifty-six thousand, four hundred".