201398400 has 576 divisors, whose sum is σ = 874735680. Its totient is φ = 44789760.

The previous prime is 201398381. The next prime is 201398411. The reversal of 201398400 is 4893102.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×201398400² = 81122631045120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5443182 + ... + 5443218.

Almost surely, 2^201398400 is an apocalyptic number.

201398400 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 201398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437367840).

201398400 is an abundant number, since it is smaller than the sum of its proper divisors (673337280).

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

201398400 is an equidigital number, since it uses as much as digits as its factorization.

201398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 201398400 is about 14191.4904079875. The cubic root of 201398400 is about 586.1633654029.

The spelling of 201398400 in words is "two hundred one million, three hundred ninety-eight thousand, four hundred".