413340840 has 192 divisors, whose sum is σ = 1514923200. Its totient is φ = 100172160.

The previous prime is 413340821. The next prime is 413340847. The reversal of 413340840 is 48043314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (413340847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129099 + ... + 132261.

It is an arithmetic number, because the mean of its divisors is an integer number (7890225).

Almost surely, 2^413340840 is an apocalyptic number.

413340840 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 413340840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757461600).

413340840 is an abundant number, since it is smaller than the sum of its proper divisors (1101582360).

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

413340840 is a wasteful number, since it uses less digits than its factorization.

413340840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 413340840 is about 20330.7855234371. The cubic root of 413340840 is about 744.9082300666.

The spelling of 413340840 in words is "four hundred thirteen million, three hundred forty thousand, eight hundred forty".