413205624 has 160 divisors (see below), whose sum is σ = 1257896640. Its totient is φ = 125971200.

The previous prime is 413205613. The next prime is 413205641. The reversal of 413205624 is 426502314.

413205624 is a `hidden beast` number, since 4 + 1 + 32 + 0 + 5 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1524609 + ... + 1524879.

It is an arithmetic number, because the mean of its divisors is an integer number (7861854).

Almost surely, 2^413205624 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 413205624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628948320).

413205624 is an abundant number, since it is smaller than the sum of its proper divisors (844691016).

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

413205624 is a wasteful number, since it uses less digits than its factorization.

413205624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 413205624 is about 20327.4598511472. The cubic root of 413205624 is about 744.8269940449.

Adding to 413205624 its reverse (426502314), we get a palindrome (839707938).

The spelling of 413205624 in words is "four hundred thirteen million, two hundred five thousand, six hundred twenty-four".