412434000 has 240 divisors, whose sum is σ = 1572202944. Its totient is φ = 99936000.

The previous prime is 412433963. The next prime is 412434019. The reversal of 412434000 is 434214.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 196959 + ... + 199041.

Almost surely, 2^412434000 is an apocalyptic number.

412434000 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 412434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786101472).

412434000 is an abundant number, since it is smaller than the sum of its proper divisors (1159768944).

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

412434000 is a wasteful number, since it uses less digits than its factorization.

412434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 412434000 is about 20308.4711389115. The cubic root of 412434000 is about 744.3630728779.

Adding to 412434000 its reverse (434214), we get a palindrome (412868214).

The spelling of 412434000 in words is "four hundred twelve million, four hundred thirty-four thousand".