413892640 has 96 divisors (see below), whose sum is σ = 1156135680. Its totient is φ = 137001984.

The previous prime is 413892629. The next prime is 413892641. The reversal of 413892640 is 46298314.

It is a self number, because there is not a number n which added to its sum of digits gives 413892640.

It is not an unprimeable number, because it can be changed into a prime (413892641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26109 + ... + 38851.

It is an arithmetic number, because the mean of its divisors is an integer number (12043080).

Almost surely, 2^413892640 is an apocalyptic number.

413892640 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 413892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578067840).

413892640 is an abundant number, since it is smaller than the sum of its proper divisors (742243040).

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

413892640 is a wasteful number, since it uses less digits than its factorization.

413892640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12794 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 413892640 is about 20344.3515502461. The cubic root of 413892640 is about 745.2395608132.

The spelling of 413892640 in words is "four hundred thirteen million, eight hundred ninety-two thousand, six hundred forty".