405262464768 has 216 divisors, whose sum is σ = 1355331006848. Its totient is φ = 114060773376.

The previous prime is 405262464767. The next prime is 405262464773. The reversal of 405262464768 is 867464262504.

It is a happy number.

405262464768 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 624 + 6 + 4 + 7 + 6 + 8 = 666.

405262464768 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405262464767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 893055 + ... + 1268097.

Almost surely, 2^405262464768 is an apocalyptic number.

405262464768 is a gapful number since it is divisible by the number (48) 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 405262464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677665503424).

405262464768 is an abundant number, since it is smaller than the sum of its proper divisors (950068542080).

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

405262464768 is a wasteful number, since it uses less digits than its factorization.

405262464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375139 (or 375122 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 405262464768 in words is "four hundred five billion, two hundred sixty-two million, four hundred sixty-four thousand, seven hundred sixty-eight".