402141306 has 64 divisors (see below), whose sum is σ = 946225152. Its totient is φ = 111556992.

The previous prime is 402141293. The next prime is 402141359. The reversal of 402141306 is 603141204.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269695 + ... + 271181.

It is an arithmetic number, because the mean of its divisors is an integer number (14784768).

Almost surely, 2^402141306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402141306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473112576).

402141306 is an abundant number, since it is smaller than the sum of its proper divisors (544083846).

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

402141306 is a wasteful number, since it uses less digits than its factorization.

402141306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 402141306 is about 20053.4611975090. The cubic root of 402141306 is about 738.1187336964.

The spelling of 402141306 in words is "four hundred two million, one hundred forty-one thousand, three hundred six".