413703990 has 256 divisors, whose sum is σ = 1362493440. Its totient is φ = 87246720.

The previous prime is 413703947. The next prime is 413704003. The reversal of 413703990 is 99307314.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1347417 + ... + 1347723.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2^413703990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413703990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681246720).

413703990 is an abundant number, since it is smaller than the sum of its proper divisors (948789450).

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

413703990 is a wasteful number, since it uses less digits than its factorization.

413703990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 413703990 is about 20339.7145997676. The cubic root of 413703990 is about 745.1263182353.

The spelling of 413703990 in words is "four hundred thirteen million, seven hundred three thousand, nine hundred ninety".