1034400 has 72 divisors (see below), whose sum is σ = 3374784. Its totient is φ = 275200.

The previous prime is 1034387. The next prime is 1034419. The reversal of 1034400 is 44301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2185 + ... + 2615.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2^1034400 is an apocalyptic number.

1034400 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 1034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392).

1034400 is an abundant number, since it is smaller than the sum of its proper divisors (2340384).

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

1034400 is a wasteful number, since it uses less digits than its factorization.

1034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1034400 is about 1017.0545708073. The cubic root of 1034400 is about 101.1337638825.

Adding to 1034400 its reverse (44301), we get a palindrome (1078701).

Subtracting from 1034400 its reverse (44301), we obtain a palindrome (990099).

The spelling of 1034400 in words is "one million, thirty-four thousand, four hundred".