413083704 has 128 divisors (see below), whose sum is σ = 1160282880. Its totient is φ = 121497600.

The previous prime is 413083681. The next prime is 413083717. The reversal of 413083704 is 407380314.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 1819639 + ... + 1819865.

It is an arithmetic number, because the mean of its divisors is an integer number (9064710).

Almost surely, 2^413083704 is an apocalyptic number.

413083704 is a gapful number since it is divisible by the number (44) 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 413083704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580141440).

413083704 is an abundant number, since it is smaller than the sum of its proper divisors (747199176).

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

413083704 is a wasteful number, since it uses less digits than its factorization.

413083704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 413083704 is about 20324.4607308534. The cubic root of 413083704 is about 744.7537308924.

The spelling of 413083704 in words is "four hundred thirteen million, eighty-three thousand, seven hundred four".