467068896 has 192 divisors, whose sum is σ = 1611187200. Its totient is φ = 128798208.

The previous prime is 467068853. The next prime is 467068907. The reversal of 467068896 is 698860764.

It is a super-2 number, since 2×467068896² = 436306707221317632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174061 + ... + 176723.

It is an arithmetic number, because the mean of its divisors is an integer number (8391600).

Almost surely, 2^467068896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467068896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805593600).

467068896 is an abundant number, since it is smaller than the sum of its proper divisors (1144118304).

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

467068896 is a wasteful number, since it uses less digits than its factorization.

467068896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 467068896 is about 21611.7767895192. The cubic root of 467068896 is about 775.8783775098.

The spelling of 467068896 in words is "four hundred sixty-seven million, sixty-eight thousand, eight hundred ninety-six".