413343000 has 352 divisors, whose sum is σ = 1658086560. Its totient is φ = 94478400.

The previous prime is 413342999. The next prime is 413343019. The reversal of 413343000 is 343314.

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 polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 59048997 + ... + 59049003.

Almost surely, 2^413343000 is an apocalyptic number.

413343000 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 413343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829043280).

413343000 is an abundant number, since it is smaller than the sum of its proper divisors (1244743560).

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

413343000 is an frugal number, since it uses more digits than its factorization.

413343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 413343000 is about 20330.8386447780. The cubic root of 413343000 is about 744.9095276229.

Adding to 413343000 its reverse (343314), we get a palindrome (413686314).

The spelling of 413343000 in words is "four hundred thirteen million, three hundred forty-three thousand".