201406400 has 168 divisors, whose sum is σ = 558235104. Its totient is φ = 70963200.

The previous prime is 201406397. The next prime is 201406417. The reversal of 201406400 is 4604102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478190 + ... + 478610.

It is an arithmetic number, because the mean of its divisors is an integer number (3322828).

Almost surely, 2^201406400 is an apocalyptic number.

201406400 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 201406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279117552).

201406400 is an abundant number, since it is smaller than the sum of its proper divisors (356828704).

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

201406400 is a wasteful number, since it uses less digits than its factorization.

201406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 201406400 is about 14191.7722642382. The cubic root of 201406400 is about 586.1711265451.

The spelling of 201406400 in words is "two hundred one million, four hundred six thousand, four hundred".