1050414400 has 84 divisors (see below), whose sum is σ = 2953946848. Its totient is φ = 360138240.

The previous prime is 1050414371. The next prime is 1050414419. The reversal of 1050414400 is 44140501.

It is a super-2 number, since 2×1050414400² = 2206740823454720000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 35694 + ... + 58093.

Almost surely, 2^1050414400 is an apocalyptic number.

1050414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1050414400 is an abundant number, since it is smaller than the sum of its proper divisors (1903532448).

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

1050414400 is an equidigital number, since it uses as much as digits as its factorization.

1050414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93816 (or 93801 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1050414400 is about 32410.0971920789. The cubic root of 1050414400 is about 1016.5300518155.

Adding to 1050414400 its reverse (44140501), we get a palindrome (1094554901).

The spelling of 1050414400 in words is "one billion, fifty million, four hundred fourteen thousand, four hundred".