413021240 has 128 divisors (see below), whose sum is σ = 1017792000. Its totient is φ = 150336000.

The previous prime is 413021233. The next prime is 413021263. The reversal of 413021240 is 42120314.

It is a super-2 number, since 2×413021240² = 341173089382275200, which contains 22 as substring.

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, 2735165 + ... + 2735315.

It is an arithmetic number, because the mean of its divisors is an integer number (7951500).

Almost surely, 2^413021240 is an apocalyptic number.

413021240 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 413021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896000).

413021240 is an abundant number, since it is smaller than the sum of its proper divisors (604770760).

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

413021240 is a wasteful number, since it uses less digits than its factorization.

413021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 413021240 is about 20322.9240022198. The cubic root of 413021240 is about 744.7161899601.

Adding to 413021240 its reverse (42120314), we get a palindrome (455141554).

The spelling of 413021240 in words is "four hundred thirteen million, twenty-one thousand, two hundred forty".