1004979456 has 324 divisors, whose sum is σ = 3282306300. Its totient is φ = 295206912.

The previous prime is 1004979449. The next prime is 1004979467. The reversal of 1004979456 is 6549794001.

1004979456 is a `hidden beast` number, since 100 + 4 + 97 + 9 + 456 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 269485056 + 735494400 = 16416^2 + 27120^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11291860 + ... + 11291948.

It is an arithmetic number, because the mean of its divisors is an integer number (10130575).

Almost surely, 2^1004979456 is an apocalyptic number.

1004979456 is a gapful number since it is divisible by the number (16) 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 1004979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641153150).

1004979456 is an abundant number, since it is smaller than the sum of its proper divisors (2277326844).

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

1004979456 is a wasteful number, since it uses less digits than its factorization.

1004979456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1004979456 is about 31701.4109465178. The cubic root of 1004979456 is about 1001.6570712648.

The spelling of 1004979456 in words is "one billion, four million, nine hundred seventy-nine thousand, four hundred fifty-six".