413123340 has 192 divisors, whose sum is σ = 1371976704. Its totient is φ = 90934272.

The previous prime is 413123323. The next prime is 413123377. The reversal of 413123340 is 43321314.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1491282 + ... + 1491558.

It is an arithmetic number, because the mean of its divisors is an integer number (7145712).

Almost surely, 2^413123340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685988352).

413123340 is an abundant number, since it is smaller than the sum of its proper divisors (958853364).

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

413123340 is a wasteful number, since it uses less digits than its factorization.

413123340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 413123340 is about 20325.4357886861. The cubic root of 413123340 is about 744.7775502091. Note that the first 3 decimals are identical.

Adding to 413123340 its reverse (43321314), we get a palindrome (456444654).

It can be divided in two parts, 413 and 123340, that added together give a triangular number (123753 = T₄₉₇).

The spelling of 413123340 in words is "four hundred thirteen million, one hundred twenty-three thousand, three hundred forty".