1274400 has 144 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 334080.

The previous prime is 1274389. The next prime is 1274401. The reversal of 1274400 is 44721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1274401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21571 + ... + 21629.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

2^1274400 is an apocalyptic number.

1274400 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 1274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

1274400 is an abundant number, since it is smaller than the sum of its proper divisors (3412800).

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

1274400 is a wasteful number, since it uses less digits than its factorization.

1274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1274400 is about 1128.8932633336. The cubic root of 1274400 is about 108.4181321593.

The spelling of 1274400 in words is "one million, two hundred seventy-four thousand, four hundred".