1050550400 has 96 divisors (see below), whose sum is σ = 2608175700. Its totient is φ = 418119680.

The previous prime is 1050550399. The next prime is 1050550427. The reversal of 1050550400 is 40550501.

It can be written as a sum of positive squares in 6 ways, for example, as 22963264 + 1027587136 = 4792^2 + 32056^2 .

It is a super-2 number, since 2×1050550400² = 2207312285880320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 744896 + ... + 746304.

Almost surely, 2^1050550400 is an apocalyptic number.

1050550400 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 1050550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304087850).

1050550400 is an abundant number, since it is smaller than the sum of its proper divisors (1557625300).

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

1050550400 is a wasteful number, since it uses less digits than its factorization.

1050550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 1050550400 is about 32412.1952357442. The cubic root of 1050550400 is about 1016.5739208894.

The spelling of 1050550400 in words is "one billion, fifty million, five hundred fifty thousand, four hundred".