201457200 has 240 divisors, whose sum is σ = 763879680. Its totient is φ = 44405760.

The previous prime is 201457199. The next prime is 201457213. The reversal of 201457200 is 2754102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243187 + ... + 244013.

It is an arithmetic number, because the mean of its divisors is an integer number (3182832).

Almost surely, 2^201457200 is an apocalyptic number.

201457200 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 201457200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381939840).

201457200 is an abundant number, since it is smaller than the sum of its proper divisors (562422480).

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

201457200 is a wasteful number, since it uses less digits than its factorization.

201457200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 201457200 is about 14193.5619208147. The cubic root of 201457200 is about 586.2204050023.

The spelling of 201457200 in words is "two hundred one million, four hundred fifty-seven thousand, two hundred".