413043840 has 512 divisors, whose sum is σ = 1665619200. Its totient is φ = 95846400.

The previous prime is 413043833. The next prime is 413043847. The reversal of 413043840 is 48340314.

It is an interprime number because it is at equal distance from previous prime (413043833) and next prime (413043847).

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 (413043847) 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 63 ways as a sum of consecutive naturals, for example, 7793254 + ... + 7793306.

Almost surely, 2^413043840 is an apocalyptic number.

413043840 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 413043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832809600).

413043840 is an abundant number, since it is smaller than the sum of its proper divisors (1252575360).

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

413043840 is a wasteful number, since it uses less digits than its factorization.

413043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

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

The square root of 413043840 is about 20323.4800169656. The cubic root of 413043840 is about 744.7297730217.

The spelling of 413043840 in words is "four hundred thirteen million, forty-three thousand, eight hundred forty".