413226624 has 32 divisors (see below), whose sum is σ = 1097634240. Its totient is φ = 137742080.

The previous prime is 413226601. The next prime is 413226641. The reversal of 413226624 is 426622314.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 413226591 and 413226600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 537672 + ... + 538439.

It is an arithmetic number, because the mean of its divisors is an integer number (34301070).

Almost surely, 2^413226624 is an apocalyptic number.

It is an amenable number.

413226624 is an abundant number, since it is smaller than the sum of its proper divisors (684407616).

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

413226624 is a wasteful number, since it uses less digits than its factorization.

413226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076128 (or 1076116 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 413226624 is about 20327.9763872354. The cubic root of 413226624 is about 744.8396117353.

Adding to 413226624 its reverse (426622314), we get a palindrome (839848938).

The spelling of 413226624 in words is "four hundred thirteen million, two hundred twenty-six thousand, six hundred twenty-four".