401400 has 72 divisors (see below), whose sum is σ = 1354080. Its totient is φ = 106560.

The previous prime is 401393. The next prime is 401407. The reversal of 401400 is 4104.

401400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (401393) and next prime (401407).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×401400² = 322243920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1689 + ... + 1911.

2⁴⁰¹⁴⁰⁰ is an apocalyptic number.

401400 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 401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040).

401400 is an abundant number, since it is smaller than the sum of its proper divisors (952680).

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

401400 is a wasteful number, since it uses less digits than its factorization.

401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 401400 is about 633.5613624583. The cubic root of 401400 is about 73.7664906148.

Adding to 401400 its reverse (4104), we get a palindrome (405504).

The spelling of 401400 in words is "four hundred one thousand, four hundred", and thus it is an iban number.