413685390 has 64 divisors (see below), whose sum is σ = 1029169152. Its totient is φ = 106310400.

The previous prime is 413685353. The next prime is 413685401. The reversal of 413685390 is 93586314.

It is a super-2 number, since 2×413685390² = 342271203798904200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 260539 + ... + 262121.

It is an arithmetic number, because the mean of its divisors is an integer number (16080768).

Almost surely, 2^413685390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413685390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514584576).

413685390 is an abundant number, since it is smaller than the sum of its proper divisors (615483762).

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

413685390 is a wasteful number, since it uses less digits than its factorization.

413685390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 413685390 is about 20339.2573610739. The cubic root of 413685390 is about 745.1151511871.

The spelling of 413685390 in words is "four hundred thirteen million, six hundred eighty-five thousand, three hundred ninety".