1050008400 has 960 divisors, whose sum is σ = 4871116800. Its totient is φ = 209018880.

The previous prime is 1050008371. The next prime is 1050008411. The reversal of 1050008400 is 48000501.

It is a super-2 number, since 2×1050008400² = 2205035280141120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24418779 + ... + 24418821.

It is an arithmetic number, because the mean of its divisors is an integer number (5074080).

Almost surely, 2^1050008400 is an apocalyptic number.

1050008400 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 1050008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435558400).

1050008400 is an abundant number, since it is smaller than the sum of its proper divisors (3821108400).

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

1050008400 is a wasteful number, since it uses less digits than its factorization.

1050008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1050008400 is about 32403.8331065940. The cubic root of 1050008400 is about 1016.3990671979.

Adding to 1050008400 its reverse (48000501), we get a palindrome (1098008901).

The spelling of 1050008400 in words is "one billion, fifty million, eight thousand, four hundred".