466311057408 has 832 divisors, whose sum is σ = 1698485760000. Its totient is φ = 126024450048.

The previous prime is 466311057347. The next prime is 466311057479. The reversal of 466311057408 is 804750113664.

466311057408 is a `hidden beast` number, since 4 + 6 + 63 + 1 + 10 + 574 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 720727741 + ... + 720728387.

Almost surely, 2^466311057408 is an apocalyptic number.

466311057408 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 466311057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849242880000).

466311057408 is an abundant number, since it is smaller than the sum of its proper divisors (1232174702592).

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

466311057408 is an equidigital number, since it uses as much as digits as its factorization.

466311057408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 466311057408 in words is "four hundred sixty-six billion, three hundred eleven million, fifty-seven thousand, four hundred eight".