201560400 has 150 divisors (see below), whose sum is σ = 723500382. Its totient is φ = 53740800.

The previous prime is 201560389. The next prime is 201560467. The reversal of 201560400 is 4065102.

It is a happy number.

201560400 is a `hidden beast` number, since 201 + 5 + 60 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 374544 + 201185856 = 612^2 + 14184^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 29290 + ... + 35510.

Almost surely, 2^201560400 is an apocalyptic number.

201560400 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 201560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361750191).

201560400 is an abundant number, since it is smaller than the sum of its proper divisors (521939982).

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

201560400 is a wasteful number, since it uses less digits than its factorization.

201560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201560400 is about 14197.1969064319. The cubic root of 201560400 is about 586.3204884913.

The spelling of 201560400 in words is "two hundred one million, five hundred sixty thousand, four hundred".