413034320 has 40 divisors (see below), whose sum is σ = 961150536. Its totient is φ = 165068288.

The previous prime is 413034317. The next prime is 413034341. The reversal of 413034320 is 23430314.

It can be written as a sum of positive squares in 4 ways, for example, as 128504896 + 284529424 = 11336^2 + 16868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 413034292 and 413034301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175874 + ... + 178206.

Almost surely, 2^413034320 is an apocalyptic number.

413034320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413034320 is an abundant number, since it is smaller than the sum of its proper divisors (548116216).

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

413034320 is a wasteful number, since it uses less digits than its factorization.

413034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 413034320 is about 20323.2458037588. The cubic root of 413034320 is about 744.7240513677.

Adding to 413034320 its reverse (23430314), we get a palindrome (436464634).

The spelling of 413034320 in words is "four hundred thirteen million, thirty-four thousand, three hundred twenty".