1406400 has 84 divisors (see below), whose sum is σ = 4629912. Its totient is φ = 373760.

The previous prime is 1406389. The next prime is 1406417. The reversal of 1406400 is 46041.

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

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 1406400.

It is a congruent number.

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, 4654 + ... + 4946.

It is an arithmetic number, because the mean of its divisors is an integer number (55118).

2^1406400 is an apocalyptic number.

1406400 is a gapful number since it is divisible by the number (10) 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 1406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314956).

1406400 is an abundant number, since it is smaller than the sum of its proper divisors (3223512).

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

1406400 is a wasteful number, since it uses less digits than its factorization.

1406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

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

The square root of 1406400 is about 1185.9173664299. The cubic root of 1406400 is about 112.0391019932.

The spelling of 1406400 in words is "one million, four hundred six thousand, four hundred".