412829883000 has 768 divisors, whose sum is σ = 1483242209280. Its totient is φ = 103420800000.

The previous prime is 412829882987. The next prime is 412829883007. The reversal of 412829883000 is 388928214.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412829883007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2161412905 + ... + 2161413095.

It is an arithmetic number, because the mean of its divisors is an integer number (1931304960).

Almost surely, 2^412829883000 is an apocalyptic number.

412829883000 is a gapful number since it is divisible by the number (40) 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 412829883000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741621104640).

412829883000 is an abundant number, since it is smaller than the sum of its proper divisors (1070412326280).

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

412829883000 is a wasteful number, since it uses less digits than its factorization.

412829883000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 412829883000 in words is "four hundred twelve billion, eight hundred twenty-nine million, eight hundred eighty-three thousand".