1000412400 has 180 divisors, whose sum is σ = 3470832168. Its totient is φ = 246205440.

The previous prime is 1000412359. The next prime is 1000412407. The reversal of 1000412400 is 42140001.

1000412400 is digitally balanced in base 6, 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000412407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200334 + ... + 205266.

Almost surely, 2^1000412400 is an apocalyptic number.

1000412400 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 1000412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735416084).

1000412400 is an abundant number, since it is smaller than the sum of its proper divisors (2470419768).

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

1000412400 is a wasteful number, since it uses less digits than its factorization.

1000412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1000412400 is about 31629.2965460821. The cubic root of 1000412400 is about 1000.1374477739.

Adding to 1000412400 its reverse (42140001), we get a palindrome (1042552401).

The spelling of 1000412400 in words is "one billion, four hundred twelve thousand, four hundred".