1002412400 has 180 divisors, whose sum is σ = 2684073000. Its totient is φ = 359462400.

The previous prime is 1002412387. The next prime is 1002412441. The reversal of 1002412400 is 42142001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6727526 + ... + 6727674.

Almost surely, 2^1002412400 is an apocalyptic number.

1002412400 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 1002412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342036500).

1002412400 is an abundant number, since it is smaller than the sum of its proper divisors (1681660600).

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

1002412400 is a wasteful number, since it uses less digits than its factorization.

1002412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1002412400 is about 31660.8970182463. The cubic root of 1002412400 is about 1000.8034875682.

Adding to 1002412400 its reverse (42142001), we get a palindrome (1044554401).

The spelling of 1002412400 in words is "one billion, two million, four hundred twelve thousand, four hundred".