402810642 has 48 divisors (see below), whose sum is σ = 952807128. Its totient is φ = 122238720.

The previous prime is 402810637. The next prime is 402810643. The reversal of 402810642 is 246018204.

402810642 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 10 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 246835521 + 155975121 = 15711^2 + 12489^2 .

It is not an unprimeable number, because it can be changed into a prime (402810643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5292 + ... + 28872.

Almost surely, 2^402810642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402810642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476403564).

402810642 is an abundant number, since it is smaller than the sum of its proper divisors (549996486).

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

402810642 is a wasteful number, since it uses less digits than its factorization.

402810642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23675 (or 23672 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 402810642 is about 20070.1430488176. The cubic root of 402810642 is about 738.5280223246.

Adding to 402810642 its reverse (246018204), we get a palindrome (648828846).

The spelling of 402810642 in words is "four hundred two million, eight hundred ten thousand, six hundred forty-two".