1004151330 has 384 divisors, whose sum is σ = 3522355200. Its totient is φ = 199874304.

The previous prime is 1004151301. The next prime is 1004151331. The reversal of 1004151330 is 331514001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1004151331) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4201351 + ... + 4201589.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2^1004151330 is an apocalyptic number.

1004151330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004151330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761177600).

1004151330 is an abundant number, since it is smaller than the sum of its proper divisors (2518203870).

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

1004151330 is a wasteful number, since it uses less digits than its factorization.

1004151330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1004151330 is about 31688.3469117592. The cubic root of 1004151330 is about 1001.3818662328.

Adding to 1004151330 its reverse (331514001), we get a palindrome (1335665331).

The spelling of 1004151330 in words is "one billion, four million, one hundred fifty-one thousand, three hundred thirty".