1129438464 has 288 divisors, whose sum is σ = 3814594560. Its totient is φ = 288153600.

The previous prime is 1129438447. The next prime is 1129438477. The reversal of 1129438464 is 4648349211.

It is a super-3 number, since 3×1129438464³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4198522 + ... + 4198790.

It is an arithmetic number, because the mean of its divisors is an integer number (13245120).

Almost surely, 2^1129438464 is an apocalyptic number.

1129438464 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 1129438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907297280).

1129438464 is an abundant number, since it is smaller than the sum of its proper divisors (2685156096).

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

1129438464 is a wasteful number, since it uses less digits than its factorization.

1129438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 1129438464 is about 33607.1192457789. The cubic root of 1129438464 is about 1041.4078762970.

The spelling of 1129438464 in words is "one billion, one hundred twenty-nine million, four hundred thirty-eight thousand, four hundred sixty-four".