413947120 has 80 divisors (see below), whose sum is σ = 998284320. Its totient is φ = 159501312.

The previous prime is 413947109. The next prime is 413947147. The reversal of 413947120 is 21749314.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 321999 + ... + 323281.

It is an arithmetic number, because the mean of its divisors is an integer number (12478554).

Almost surely, 2^413947120 is an apocalyptic number.

413947120 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 413947120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499142160).

413947120 is an abundant number, since it is smaller than the sum of its proper divisors (584337200).

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

413947120 is a wasteful number, since it uses less digits than its factorization.

413947120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 413947120 is about 20345.6904527716. The cubic root of 413947120 is about 745.2722575933.

The spelling of 413947120 in words is "four hundred thirteen million, nine hundred forty-seven thousand, one hundred twenty".