401314200 has 384 divisors, whose sum is σ = 1542758400. Its totient is φ = 84257280.

The previous prime is 401314187. The next prime is 401314201. The reversal of 401314200 is 2413104.

It is a super-2 number, since 2×401314200² = 322106174243280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401314200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401314201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3750547 + ... + 3750653.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2^401314200 is an apocalyptic number.

401314200 is a gapful number since it is divisible by the number (40) 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 401314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771379200).

401314200 is an abundant number, since it is smaller than the sum of its proper divisors (1141444200).

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

401314200 is a wasteful number, since it uses less digits than its factorization.

401314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 401314200 is about 20032.8280579653. The cubic root of 401314200 is about 737.6123433187.

Adding to 401314200 its reverse (2413104), we get a palindrome (403727304).

The spelling of 401314200 in words is "four hundred one million, three hundred fourteen thousand, two hundred".