413337606 has 64 divisors (see below), whose sum is σ = 921701376. Its totient is φ = 122522400.

The previous prime is 413337583. The next prime is 413337637. The reversal of 413337606 is 606733314.

It is a super-2 number, since 2×413337606² = 341695953067622472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 932821 + ... + 933263.

It is an arithmetic number, because the mean of its divisors is an integer number (14401584).

Almost surely, 2^413337606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413337606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460850688).

413337606 is an abundant number, since it is smaller than the sum of its proper divisors (508363770).

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

413337606 is a wasteful number, since it uses less digits than its factorization.

413337606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737.

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 413337606 is about 20330.7059887255. The cubic root of 413337606 is about 744.9062873281.

The spelling of 413337606 in words is "four hundred thirteen million, three hundred thirty-seven thousand, six hundred six".