413431000 has 64 divisors (see below), whose sum is σ = 970781760. Its totient is φ = 164800000.

The previous prime is 413430971. The next prime is 413431001. The reversal of 413431000 is 134314.

It is a super-2 number, since 2×413431000² = 341850383522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413431001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 400485 + ... + 401515.

It is an arithmetic number, because the mean of its divisors is an integer number (15168465).

Almost surely, 2^413431000 is an apocalyptic number.

413431000 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 413431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485390880).

413431000 is an abundant number, since it is smaller than the sum of its proper divisors (557350760).

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

413431000 is a wasteful number, since it uses less digits than its factorization.

413431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 413431000 is about 20333.0027295528. The cubic root of 413431000 is about 744.9623871826.

Adding to 413431000 its reverse (134314), we get a palindrome (413565314).

The spelling of 413431000 in words is "four hundred thirteen million, four hundred thirty-one thousand".