1004319481 has 27 divisors (see below), whose sum is σ = 1147311333. Its totient is φ = 878474520.

The previous prime is 1004319469. The next prime is 1004319487. The reversal of 1004319481 is 1849134001.

The square root of 1004319481 is 31691.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1004319481 - 2¹³ = 1004311289 is a prime.

It is a super-2 number, since 2×1004319481² = 2017315239832218722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004319487) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14989810 + ... + 14989876.

Almost surely, 2^1004319481 is an apocalyptic number.

1004319481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1004319481 is the 31691-st square number.

1004319481 is the 15846-th centered octagonal number.

It is an amenable number.

1004319481 is a deficient number, since it is larger than the sum of its proper divisors (142991852).

1004319481 is an frugal number, since it uses more digits than its factorization.

1004319481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 1004319481 is about 1001.4377588588.

The spelling of 1004319481 in words is "one billion, four million, three hundred nineteen thousand, four hundred eighty-one".