1004129280 has 528 divisors, whose sum is σ = 4353133824. Its totient is φ = 207912960.

The previous prime is 1004129267. The next prime is 1004129281. The reversal of 1004129280 is 829214001.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1004129280² = 2016551221906636800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004129281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3548019 + ... + 3548301.

Almost surely, 2^1004129280 is an apocalyptic number.

1004129280 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 1004129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176566912).

1004129280 is an abundant number, since it is smaller than the sum of its proper divisors (3349004544).

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

1004129280 is a wasteful number, since it uses less digits than its factorization.

1004129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1004129280 is about 31687.9989901540. The cubic root of 1004129280 is about 1001.3745364506.

The spelling of 1004129280 in words is "one billion, four million, one hundred twenty-nine thousand, two hundred eighty".