466268304744 has 288 divisors, whose sum is σ = 1445121437760. Its totient is φ = 140737512960.

The previous prime is 466268304739. The next prime is 466268304781. The reversal of 466268304744 is 447403862664.

466268304744 is a `hidden beast` number, since 4 + 6 + 6 + 268 + 304 + 74 + 4 = 666.

466268304744 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×466268304744² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61860144 + ... + 61867680.

It is an arithmetic number, because the mean of its divisors is an integer number (5017782770).

Almost surely, 2^466268304744 is an apocalyptic number.

466268304744 is a gapful number since it is divisible by the number (44) 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 466268304744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722560718880).

466268304744 is an abundant number, since it is smaller than the sum of its proper divisors (978853133016).

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

466268304744 is a wasteful number, since it uses less digits than its factorization.

466268304744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7843 (or 7816 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 466268304744 in words is "four hundred sixty-six billion, two hundred sixty-eight million, three hundred four thousand, seven hundred forty-four".