1130399424 has 378 divisors, whose sum is σ = 4155388692. Its totient is φ = 292723200.

The previous prime is 1130399363. The next prime is 1130399443. The reversal of 1130399424 is 4249930311.

It is a super-3 number, since 3×1130399424³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3414939 + ... + 3415269.

Almost surely, 2^1130399424 is an apocalyptic number.

1130399424 is a gapful number since it is divisible by the number (14) 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 1130399424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077694346).

1130399424 is an abundant number, since it is smaller than the sum of its proper divisors (3024989268).

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

1130399424 is a wasteful number, since it uses less digits than its factorization.

1130399424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1130399424 is about 33621.4131767241. The cubic root of 1130399424 is about 1041.7031462197.

The spelling of 1130399424 in words is "one billion, one hundred thirty million, three hundred ninety-nine thousand, four hundred twenty-four".