1409600 has 42 divisors (see below), whose sum is σ = 3472434. Its totient is φ = 563200.

The previous prime is 1409587. The next prime is 1409633. The reversal of 1409600 is 69041.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 1401856 = 88^2 + 1184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1160 + ... + 2040.

It is an arithmetic number, because the mean of its divisors is an integer number (82677).

2^1409600 is an apocalyptic number.

1409600 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 1409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736217).

1409600 is an abundant number, since it is smaller than the sum of its proper divisors (2062834).

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

1409600 is an equidigital number, since it uses as much as digits as its factorization.

1409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1409600 is about 1187.2657663725. The cubic root of 1409600 is about 112.1240122962.

The spelling of 1409600 in words is "one million, four hundred nine thousand, six hundred".