1004934000 has 320 divisors, whose sum is σ = 3766044672. Its totient is φ = 225792000.

The previous prime is 1004933953. The next prime is 1004934011. The reversal of 1004934000 is 4394001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2981832 + ... + 2982168.

Almost surely, 2^1004934000 is an apocalyptic number.

1004934000 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 1004934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883022336).

1004934000 is an abundant number, since it is smaller than the sum of its proper divisors (2761110672).

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

1004934000 is a wasteful number, since it uses less digits than its factorization.

1004934000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1004934000 is about 31700.6939987124. The cubic root of 1004934000 is about 1001.6419691284.

The spelling of 1004934000 in words is "one billion, four million, nine hundred thirty-four thousand".