402340320 has 144 divisors (see below), whose sum is σ = 1417433472. Its totient is φ = 103818240.

The previous prime is 402340319. The next prime is 402340321. The reversal of 402340320 is 23043204.

402340320 is a `hidden beast` number, since 4 + 0 + 2 + 340 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (402340319) and next prime (402340321).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 402340293 and 402340302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402340321) 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, 40134 + ... + 49146.

It is an arithmetic number, because the mean of its divisors is an integer number (9843288).

Almost surely, 2^402340320 is an apocalyptic number.

402340320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708716736).

402340320 is an abundant number, since it is smaller than the sum of its proper divisors (1015093152).

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

402340320 is a wasteful number, since it uses less digits than its factorization.

402340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9065 (or 9054 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 402340320 is about 20058.4226697914. The cubic root of 402340320 is about 738.2404750958.

Adding to 402340320 its reverse (23043204), we get a palindrome (425383524).

The spelling of 402340320 in words is "four hundred two million, three hundred forty thousand, three hundred twenty".