201864400 has 30 divisors (see below), whose sum is σ = 484980182. Its totient is φ = 80745600.

The previous prime is 201864391. The next prime is 201864427. The reversal of 201864400 is 4468102.

It can be written as a sum of positive squares in 3 ways, for example, as 31091776 + 170772624 = 5576^2 + 13068^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251931 + ... + 252730.

Almost surely, 2^201864400 is an apocalyptic number.

201864400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201864400 is an abundant number, since it is smaller than the sum of its proper divisors (283115782).

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

201864400 is a wasteful number, since it uses less digits than its factorization.

201864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504679 (or 504668 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 201864400 is about 14207.8992113542. The cubic root of 201864400 is about 586.6151096795.

The spelling of 201864400 in words is "two hundred one million, eight hundred sixty-four thousand, four hundred".