1009682400 has 288 divisors, whose sum is σ = 3485776896. Its totient is φ = 253440000.

The previous prime is 1009682351. The next prime is 1009682417. The reversal of 1009682400 is 42869001.

1009682400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3050235 + ... + 3050565.

It is an arithmetic number, because the mean of its divisors is an integer number (12103392).

Almost surely, 2^1009682400 is an apocalyptic number.

1009682400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 31775×31776.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742888448).

1009682400 is an abundant number, since it is smaller than the sum of its proper divisors (2476094496).

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

1009682400 is a wasteful number, since it uses less digits than its factorization.

1009682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1009682400 is about 31775.4999960662. The cubic root of 1009682400 is about 1003.2171057982.

The spelling of 1009682400 in words is "one billion, nine million, six hundred eighty-two thousand, four hundred".