1004978744 has 128 divisors (see below), whose sum is σ = 2482099200. Its totient is φ = 369853440.

The previous prime is 1004978729. The next prime is 1004978747. The reversal of 1004978744 is 4478794001.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1004978695 and 1004978704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004978747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260554 + ... + 1261350.

It is an arithmetic number, because the mean of its divisors is an integer number (19391400).

Almost surely, 2^1004978744 is an apocalyptic number.

1004978744 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 1004978744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241049600).

1004978744 is an abundant number, since it is smaller than the sum of its proper divisors (1477120456).

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

1004978744 is a wasteful number, since it uses less digits than its factorization.

1004978744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 1004978744 is about 31701.3997167318. The cubic root of 1004978744 is about 1001.6568347160.

The spelling of 1004978744 in words is "one billion, four million, nine hundred seventy-eight thousand, seven hundred forty-four".