201391400 has 96 divisors (see below), whose sum is σ = 541007040. Its totient is φ = 68290560.

The previous prime is 201391387. The next prime is 201391433. The reversal of 201391400 is 4193102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135059 + ... + 136541.

It is an arithmetic number, because the mean of its divisors is an integer number (5635490).

Almost surely, 2^201391400 is an apocalyptic number.

201391400 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 201391400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270503520).

201391400 is an abundant number, since it is smaller than the sum of its proper divisors (339615640).

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

201391400 is a wasteful number, since it uses less digits than its factorization.

201391400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 201391400 is about 14191.2437791759. The cubic root of 201391400 is about 586.1565742349.

The spelling of 201391400 in words is "two hundred one million, three hundred ninety-one thousand, four hundred".