402530624 has 56 divisors (see below), whose sum is σ = 855466920. Its totient is φ = 187252736.

The previous prime is 402530593. The next prime is 402530651. The reversal of 402530624 is 426035204.

It can be written as a sum of positive squares in 4 ways, for example, as 47886400 + 354644224 = 6920^2 + 18832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 402530593 and 402530602.

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, 94754 + ... + 98910.

It is an arithmetic number, because the mean of its divisors is an integer number (15276195).

Almost surely, 2^402530624 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 402530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427733460).

402530624 is an abundant number, since it is smaller than the sum of its proper divisors (452936296).

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

402530624 is a wasteful number, since it uses less digits than its factorization.

402530624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 402530624 is about 20063.1658518789. The cubic root of 402530624 is about 738.3568508470.

Adding to 402530624 its reverse (426035204), we get a palindrome (828565828).

The spelling of 402530624 in words is "four hundred two million, five hundred thirty thousand, six hundred twenty-four".