401386400 has 72 divisors (see below), whose sum is σ = 1031496480. Its totient is φ = 152098560.

The previous prime is 401386387. The next prime is 401386411. The reversal of 401386400 is 4683104.

401386400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401386400² = 322222084209920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401386400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1997 + ... + 28403.

It is an arithmetic number, because the mean of its divisors is an integer number (14326340).

Almost surely, 2^401386400 is an apocalyptic number.

401386400 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 401386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515748240).

401386400 is an abundant number, since it is smaller than the sum of its proper divisors (630110080).

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

401386400 is a wasteful number, since it uses less digits than its factorization.

401386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26446 (or 26433 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 401386400 is about 20034.6300190445. The cubic root of 401386400 is about 737.6565750103.

The spelling of 401386400 in words is "four hundred one million, three hundred eighty-six thousand, four hundred".