6402240 has 280 divisors, whose sum is σ = 25816560. Its totient is φ = 1492992.

The previous prime is 6402203. The next prime is 6402247. The reversal of 6402240 is 422046.

6402240 is a `hidden beast` number, since 640 + 2 + 24 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6402247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336951 + ... + 336969.

It is an arithmetic number, because the mean of its divisors is an integer number (92202).

Almost surely, 2^6402240 is an apocalyptic number.

6402240 is a gapful number since it is divisible by the number (60) 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 6402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908280).

6402240 is an abundant number, since it is smaller than the sum of its proper divisors (19414320).

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

6402240 is a wasteful number, since it uses less digits than its factorization.

6402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6402240 is about 2530.2648082760. The cubic root of 6402240 is about 185.6852115658.

Adding to 6402240 its reverse (422046), we get a palindrome (6824286).

The spelling of 6402240 in words is "six million, four hundred two thousand, two hundred forty".