413436000 has 192 divisors, whose sum is σ = 1369944576. Its totient is φ = 108992000.

The previous prime is 413435999. The next prime is 413436041. The reversal of 413436000 is 634314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1571869 + ... + 1572131.

It is an arithmetic number, because the mean of its divisors is an integer number (7135128).

Almost surely, 2^413436000 is an apocalyptic number.

413436000 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 413436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684972288).

413436000 is an abundant number, since it is smaller than the sum of its proper divisors (956508576).

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

413436000 is a wasteful number, since it uses less digits than its factorization.

413436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 413436000 is about 20333.1256819998. The cubic root of 413436000 is about 744.9653903415.

The spelling of 413436000 in words is "four hundred thirteen million, four hundred thirty-six thousand".