1004761440 has 216 divisors, whose sum is σ = 3587023440. Its totient is φ = 256092672.

The previous prime is 1004761427. The next prime is 1004761451. The reversal of 1004761440 is 441674001.

1004761440 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 7 + 614 + 40 = 666.

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, 761101 + ... + 762419.

It is an arithmetic number, because the mean of its divisors is an integer number (16606590).

Almost surely, 2^1004761440 is an apocalyptic number.

1004761440 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 1004761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793511720).

1004761440 is an abundant number, since it is smaller than the sum of its proper divisors (2582262000).

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

1004761440 is a wasteful number, since it uses less digits than its factorization.

1004761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1004761440 is about 31697.9721748884. The cubic root of 1004761440 is about 1001.5846342745.

The spelling of 1004761440 in words is "one billion, four million, seven hundred sixty-one thousand, four hundred forty".