406202624 has 36 divisors (see below), whose sum is σ = 858522924. Its totient is φ = 191152128.

The previous prime is 406202603. The next prime is 406202627. The reversal of 406202624 is 426202604.

It can be written as a sum of positive squares in 2 ways, for example, as 242362624 + 163840000 = 15568^2 + 12800^2 .

It is a junction number, because it is equal to n+sod(n) for n = 406202593 and 406202602.

It is not an unprimeable number, because it can be changed into a prime (406202627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42317 + ... + 51020.

It is an arithmetic number, because the mean of its divisors is an integer number (23847859).

Almost surely, 2^406202624 is an apocalyptic number.

It is an amenable number.

406202624 is an abundant number, since it is smaller than the sum of its proper divisors (452320300).

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

406202624 is an equidigital number, since it uses as much as digits as its factorization.

406202624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93370 (or 93356 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 406202624 is about 20154.4690825633. The cubic root of 406202624 is about 740.5952259901.

The spelling of 406202624 in words is "four hundred six million, two hundred two thousand, six hundred twenty-four".