1050440400 has 360 divisors, whose sum is σ = 3853440864. Its totient is φ = 274752000.

The previous prime is 1050440381. The next prime is 1050440401. The reversal of 1050440400 is 40440501.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1050440400² = 2206850067904320000, 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 not an unprimeable number, because it can be changed into a prime (1050440401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9817147 + ... + 9817253.

Almost surely, 2^1050440400 is an apocalyptic number.

1050440400 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 1050440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926720432).

1050440400 is an abundant number, since it is smaller than the sum of its proper divisors (2803000464).

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

1050440400 is a wasteful number, since it uses less digits than its factorization.

1050440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1050440400 is about 32410.4982991623. The cubic root of 1050440400 is about 1016.5384388429.

Adding to 1050440400 its reverse (40440501), we get a palindrome (1090880901).

The spelling of 1050440400 in words is "one billion, fifty million, four hundred forty thousand, four hundred".