201400980 has 96 divisors (see below), whose sum is σ = 618710400. Its totient is φ = 48545280.

The previous prime is 201400957. The next prime is 201400987. The reversal of 201400980 is 89004102.

It is a self number, because there is not a number n which added to its sum of digits gives 201400980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201400987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129246 + ... + 130794.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^201400980 is an apocalyptic number.

201400980 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 201400980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309355200).

201400980 is an abundant number, since it is smaller than the sum of its proper divisors (417309420).

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

201400980 is a wasteful number, since it uses less digits than its factorization.

201400980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 201400980 is about 14191.5813072399. The cubic root of 201400980 is about 586.1658683937.

The spelling of 201400980 in words is "two hundred one million, four hundred thousand, nine hundred eighty".