1400256400 has 45 divisors (see below), whose sum is σ = 3365914993. Its totient is φ = 559803200.

The previous prime is 1400256349. The next prime is 1400256409. The reversal of 1400256400 is 46520041.

The square root of 1400256400 is 37420.

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., 504092304 + 896164096 = 22452^2 + 29936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1400256409) 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, 747465 + ... + 749335.

Almost surely, 2^1400256400 is an apocalyptic number.

1400256400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1400256400 is the 37420-th square number.

It is an amenable number.

1400256400 is an abundant number, since it is smaller than the sum of its proper divisors (1965658593).

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

1400256400 is an frugal number, since it uses more digits than its factorization.

1400256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The cubic root of 1400256400 is about 1118.7572312090.

Adding to 1400256400 its reverse (46520041), we get a palindrome (1446776441).

The spelling of 1400256400 in words is "one billion, four hundred million, two hundred fifty-six thousand, four hundred".