412182000 has 320 divisors, whose sum is σ = 1566864000. Its totient is φ = 103219200.

The previous prime is 412181989. The next prime is 412182013. The reversal of 412182000 is 281214.

It is a super-2 number, since 2×412182000² = 339788002248000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 917776 + ... + 918224.

It is an arithmetic number, because the mean of its divisors is an integer number (4896450).

Almost surely, 2^412182000 is an apocalyptic number.

412182000 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 412182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783432000).

412182000 is an abundant number, since it is smaller than the sum of its proper divisors (1154682000).

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

412182000 is a wasteful number, since it uses less digits than its factorization.

412182000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 412182000 is about 20302.2658833934. The cubic root of 412182000 is about 744.2114383445.

The spelling of 412182000 in words is "four hundred twelve million, one hundred eighty-two thousand".