413333440 has 84 divisors (see below), whose sum is σ = 1065925224. Its totient is φ = 152595456.

The previous prime is 413333419. The next prime is 413333507. The reversal of 413333440 is 44333314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50259 + ... + 57901.

It is an arithmetic number, because the mean of its divisors is an integer number (12689586).

Almost surely, 2^413333440 is an apocalyptic number.

413333440 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 413333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532962612).

413333440 is an abundant number, since it is smaller than the sum of its proper divisors (652591784).

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

413333440 is a wasteful number, since it uses less digits than its factorization.

413333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7686 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 413333440 is about 20330.6035326057. The cubic root of 413333440 is about 744.9037847008.

Adding to 413333440 its reverse (44333314), we get a palindrome (457666754).

It can be divided in two parts, 4133 and 33440, that added together give a palindrome (37573).

The spelling of 413333440 in words is "four hundred thirteen million, three hundred thirty-three thousand, four hundred forty".