1050400 has 72 divisors (see below), whose sum is σ = 2788884. Its totient is φ = 384000.

The previous prime is 1050391. The next prime is 1050421. The reversal of 1050400 is 40501.

1050400 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 478864 + 571536 = 692^2 + 756^2 .

It is a super-2 number, since 2×1050400² = 2206680320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10350 + ... + 10450.

2^1050400 is an apocalyptic number.

1050400 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 1050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394442).

1050400 is an abundant number, since it is smaller than the sum of its proper divisors (1738484).

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

1050400 is a wasteful number, since it uses less digits than its factorization.

1050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1050400 is about 1024.8902380255. The cubic root of 1050400 is about 101.6525406633.

Adding to 1050400 its reverse (40501), we get a palindrome (1090901).

The spelling of 1050400 in words is "one million, fifty thousand, four hundred".