413993840 has 80 divisors (see below), whose sum is σ = 1070098176. Its totient is φ = 147916800.

The previous prime is 413993803. The next prime is 413993863. The reversal of 413993840 is 48399314.

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, 25820 + ... + 38660.

Almost surely, 2^413993840 is an apocalyptic number.

413993840 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 413993840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535049088).

413993840 is an abundant number, since it is smaller than the sum of its proper divisors (656104336).

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

413993840 is a wasteful number, since it uses less digits than its factorization.

413993840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12898 (or 12892 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 413993840 is about 20346.8385750711. The cubic root of 413993840 is about 745.3002948380.

It can be divided in two parts, 4139 and 93840, that added together give a palindrome (97979).

The spelling of 413993840 in words is "four hundred thirteen million, nine hundred ninety-three thousand, eight hundred forty".