1390400 has 84 divisors (see below), whose sum is σ = 3779520. Its totient is φ = 499200.

The previous prime is 1390399. The next prime is 1390409. The reversal of 1390400 is 40931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17561 + ... + 17639.

2^1390400 is an apocalyptic number.

1390400 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 1390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889760).

1390400 is an abundant number, since it is smaller than the sum of its proper divisors (2389120).

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

1390400 is a wasteful number, since it uses less digits than its factorization.

1390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1390400 is about 1179.1522378387. The cubic root of 1390400 is about 111.6126071839.

The spelling of 1390400 in words is "one million, three hundred ninety thousand, four hundred".