1284400 has 90 divisors (see below), whose sum is σ = 3517260. Its totient is φ = 449280.

The previous prime is 1284383. The next prime is 1284421. The reversal of 1284400 is 44821.

1284400 = 31³ + 32³ + ... + 49³.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67591 + ... + 67609.

2^1284400 is an apocalyptic number.

1284400 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 1284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758630).

1284400 is an abundant number, since it is smaller than the sum of its proper divisors (2232860).

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

1284400 is a wasteful number, since it uses less digits than its factorization.

1284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1284400 is about 1133.3137253206. The cubic root of 1284400 is about 108.7009731888.

Multiplying 1284400 by its sum of digits (19), we get a square (24403600 = 4940²).

1284400 divided by its sum of digits (19) gives a square (67600 = 260²).

The spelling of 1284400 in words is "one million, two hundred eighty-four thousand, four hundred".