402468240 has 160 divisors (see below), whose sum is σ = 1304130816. Its totient is φ = 102574080.

The previous prime is 402468239. The next prime is 402468247. The reversal of 402468240 is 42864204.

402468240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 402468198 and 402468207.

It is not an unprimeable number, because it can be changed into a prime (402468247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541309 + ... + 542051.

Almost surely, 2^402468240 is an apocalyptic number.

402468240 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 402468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652065408).

402468240 is an abundant number, since it is smaller than the sum of its proper divisors (901662576).

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

402468240 is a wasteful number, since it uses less digits than its factorization.

402468240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 402468240 is about 20061.6111018034. The cubic root of 402468240 is about 738.3187054814.

The spelling of 402468240 in words is "four hundred two million, four hundred sixty-eight thousand, two hundred forty".