413462040 has 128 divisors (see below), whose sum is σ = 1337817600. Its totient is φ = 101882880.

The previous prime is 413462011. The next prime is 413462167. The reversal of 413462040 is 40264314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 413462040.

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 31 ways as a sum of consecutive naturals, for example, 91269 + ... + 95691.

It is an arithmetic number, because the mean of its divisors is an integer number (10451700).

Almost surely, 2^413462040 is an apocalyptic number.

413462040 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 413462040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668908800).

413462040 is an abundant number, since it is smaller than the sum of its proper divisors (924355560).

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

413462040 is a wasteful number, since it uses less digits than its factorization.

413462040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 413462040 is about 20333.7660063255. The cubic root of 413462040 is about 744.9810304015.

The spelling of 413462040 in words is "four hundred thirteen million, four hundred sixty-two thousand, forty".