1129894400 has 120 divisors (see below), whose sum is σ = 2869011684. Its totient is φ = 440729600.

The previous prime is 1129894391. The next prime is 1129894453. The reversal of 1129894400 is 44989211.

It can be written as a sum of positive squares in 6 ways, for example, as 12730624 + 1117163776 = 3568^2 + 33424^2 .

It is a super-2 number, since 2×1129894400² = 2553322710302720000, which contains 22 as substring.

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, 523724 + ... + 525876.

Almost surely, 2^1129894400 is an apocalyptic number.

1129894400 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 1129894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434505842).

1129894400 is an abundant number, since it is smaller than the sum of its proper divisors (1739117284).

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

1129894400 is an equidigital number, since it uses as much as digits as its factorization.

1129894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 1129894400 is about 33613.9018859757. The cubic root of 1129894400 is about 1041.5479906043.

The spelling of 1129894400 in words is "one billion, one hundred twenty-nine million, eight hundred ninety-four thousand, four hundred".