466468949520 has 600 divisors, whose sum is σ = 1890231767424. Its totient is φ = 106304389632.

The previous prime is 466468949467. The next prime is 466468949543. The reversal of 466468949520 is 25949864664.

466468949520 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 68 + 9 + 49 + 520 = 666.

466468949520 is digitally balanced in base 4, 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116527839 + ... + 116531841.

Almost surely, 2^466468949520 is an apocalyptic number.

466468949520 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 466468949520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945115883712).

466468949520 is an abundant number, since it is smaller than the sum of its proper divisors (1423762817904).

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

466468949520 is a wasteful number, since it uses less digits than its factorization.

466468949520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 466468949520 in words is "four hundred sixty-six billion, four hundred sixty-eight million, nine hundred forty-nine thousand, five hundred twenty".