1004246400 has 192 divisors, whose sum is σ = 3355387920. Its totient is φ = 263946240.

The previous prime is 1004246377. The next prime is 1004246413. The reversal of 1004246400 is 46424001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700084 + ... + 701516.

Almost surely, 2^1004246400 is an apocalyptic number.

1004246400 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 1004246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677693960).

1004246400 is an abundant number, since it is smaller than the sum of its proper divisors (2351141520).

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

1004246400 is a wasteful number, since it uses less digits than its factorization.

1004246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1004246400 is about 31689.8469545058. The cubic root of 1004246400 is about 1001.4134678340.

The spelling of 1004246400 in words is "one billion, four million, two hundred forty-six thousand, four hundred".