413234000 has 80 divisors (see below), whose sum is σ = 1009060416. Its totient is φ = 163664000.

The previous prime is 413233993. The next prime is 413234023. The reversal of 413234000 is 432314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 413234000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213035 + ... + 214965.

Almost surely, 2^413234000 is an apocalyptic number.

413234000 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 413234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504530208).

413234000 is an abundant number, since it is smaller than the sum of its proper divisors (595826416).

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

413234000 is a wasteful number, since it uses less digits than its factorization.

413234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 413234000 is about 20328.1578112725. The cubic root of 413234000 is about 744.8440434474.

Adding to 413234000 its reverse (432314), we get a palindrome (413666314).

The spelling of 413234000 in words is "four hundred thirteen million, two hundred thirty-four thousand".