1129874400 has 432 divisors, whose sum is σ = 4364876880. Its totient is φ = 282009600.

The previous prime is 1129874377. The next prime is 1129874429. The reversal of 1129874400 is 44789211.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6242310 + ... + 6242490.

Almost surely, 2^1129874400 is an apocalyptic number.

1129874400 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 1129874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182438440).

1129874400 is an abundant number, since it is smaller than the sum of its proper divisors (3235002480).

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

1129874400 is a wasteful number, since it uses less digits than its factorization.

1129874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1129874400 is about 33613.6043886995. The cubic root of 1129874400 is about 1041.5418451679.

The spelling of 1129874400 in words is "one billion, one hundred twenty-nine million, eight hundred seventy-four thousand, four hundred".