1290400 has 36 divisors (see below), whose sum is σ = 3152142. Its totient is φ = 515840.

The previous prime is 1290379. The next prime is 1290427. The reversal of 1290400 is 40921.

It can be written as a sum of positive squares in 3 ways, for example, as 1024144 + 266256 = 1012^2 + 516^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 7 + ... + 1606.

2^1290400 is an apocalyptic number.

1290400 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 1290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576071).

1290400 is an abundant number, since it is smaller than the sum of its proper divisors (1861742).

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

1290400 is a wasteful number, since it uses less digits than its factorization.

1290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1290400 is about 1135.9577456930. The cubic root of 1290400 is about 108.8699737302.

The spelling of 1290400 in words is "one million, two hundred ninety thousand, four hundred".