1392400 has 45 divisors (see below), whose sum is σ = 3402901. Its totient is φ = 547520.

The previous prime is 1392379. The next prime is 1392407. The reversal of 1392400 is 42931.

The square root of 1392400 is 1180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 891136 = 708^2 + 944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1392407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23571 + ... + 23629.

2^1392400 is an apocalyptic number.

1392400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1392400 is the 1180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1392400

1392400 is an abundant number, since it is smaller than the sum of its proper divisors (2010501).

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

1392400 is an equidigital number, since it uses as much as digits as its factorization.

1392400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 1392400 is about 111.6660973709. Note that the first 3 decimals are identical.

The spelling of 1392400 in words is "one million, three hundred ninety-two thousand, four hundred".