2402405406 has 48 divisors (see below), whose sum is σ = 5440641024. Its totient is φ = 794475864.

The previous prime is 2402405389. The next prime is 2402405441. The reversal of 2402405406 is 6045042042.

2402405406 is digitally balanced in base 2, 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2402405406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42261 + ... + 81183.

It is an arithmetic number, because the mean of its divisors is an integer number (113346688).

Almost surely, 2^2402405406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402405406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720320512).

2402405406 is an abundant number, since it is smaller than the sum of its proper divisors (3038235618).

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

2402405406 is a wasteful number, since it uses less digits than its factorization.

2402405406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39067 (or 39055 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2402405406 is about 49014.3387795857. The cubic root of 2402405406 is about 1339.3130447122.

Adding to 2402405406 its reverse (6045042042), we get a palindrome (8447447448).

The spelling of 2402405406 in words is "two billion, four hundred two million, four hundred five thousand, four hundred six".