1042400 has 36 divisors (see below), whose sum is σ = 2546712. Its totient is φ = 416640.

The previous prime is 1042399. The next prime is 1042427. The reversal of 1042400 is 42401.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (70742).

2^1042400 is an apocalyptic number.

1042400 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 1042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273356).

1042400 is an abundant number, since it is smaller than the sum of its proper divisors (1504312).

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

1042400 is a wasteful number, since it uses less digits than its factorization.

1042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1042400 is about 1020.9799214480. The cubic root of 1042400 is about 101.3938158473.

Adding to 1042400 its reverse (42401), we get a palindrome (1084801).

Subtracting from 1042400 its reverse (42401), we obtain a palindrome (999999).

The spelling of 1042400 in words is "one million, forty-two thousand, four hundred".