1412856000 has 448 divisors, whose sum is σ = 5376184320. Its totient is φ = 362880000.

The previous prime is 1412855947. The next prime is 1412856007. The reversal of 1412856000 is 6582141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412856007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6695895 + ... + 6696105.

Almost surely, 2^1412856000 is an apocalyptic number.

1412856000 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 1412856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688092160).

1412856000 is an abundant number, since it is smaller than the sum of its proper divisors (3963328320).

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

1412856000 is a wasteful number, since it uses less digits than its factorization.

1412856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1412856000 is about 37587.9768010996. The cubic root of 1412856000 is about 1122.1027673321.

The spelling of 1412856000 in words is "one billion, four hundred twelve million, eight hundred fifty-six thousand".