467648256 has 72 divisors (see below), whose sum is σ = 1268220240. Its totient is φ = 152928256.

The previous prime is 467648231. The next prime is 467648303. The reversal of 467648256 is 652846764.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34960 + ... + 46448.

It is an arithmetic number, because the mean of its divisors is an integer number (17614170).

Almost surely, 2^467648256 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 467648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634110120).

467648256 is an abundant number, since it is smaller than the sum of its proper divisors (800571984).

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

467648256 is a wasteful number, since it uses less digits than its factorization.

467648256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11561 (or 11547 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 467648256 is about 21625.1764385866. The cubic root of 467648256 is about 776.1990490906.

The spelling of 467648256 in words is "four hundred sixty-seven million, six hundred forty-eight thousand, two hundred fifty-six".