412734000 has 320 divisors, whose sum is σ = 1574756352. Its totient is φ = 91008000.

The previous prime is 412733953. The next prime is 412734019. The reversal of 412734000 is 437214.

412734000 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301842 + ... + 1302158.

Almost surely, 2^412734000 is an apocalyptic number.

412734000 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 412734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787378176).

412734000 is an abundant number, since it is smaller than the sum of its proper divisors (1162022352).

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

412734000 is a wasteful number, since it uses less digits than its factorization.

412734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 412734000 is about 20315.8558766300. The cubic root of 412734000 is about 744.5435096666.

The spelling of 412734000 in words is "four hundred twelve million, seven hundred thirty-four thousand".