1402400 has 36 divisors (see below), whose sum is σ = 3425562. Its totient is φ = 560640.

The previous prime is 1402399. The next prime is 1402417. The reversal of 1402400 is 42041.

1402400 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 620944 + 781456 = 788^2 + 884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77 + ... + 1676.

2^1402400 is an apocalyptic number.

1402400 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 1402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712781).

1402400 is an abundant number, since it is smaller than the sum of its proper divisors (2023162).

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

1402400 is a wasteful number, since it uses less digits than its factorization.

1402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1402400 is about 1184.2297074470. The cubic root of 1402400 is about 111.9327827967.

Adding to 1402400 its reverse (42041), we get a palindrome (1444441).

The spelling of 1402400 in words is "one million, four hundred two thousand, four hundred".