467056128 has 240 divisors, whose sum is σ = 1567399680. Its totient is φ = 120975360.

The previous prime is 467056127. The next prime is 467056141. The reversal of 467056128 is 821650764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467056127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300813 + ... + 1301171.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 2^467056128 is an apocalyptic number.

467056128 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 467056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783699840).

467056128 is an abundant number, since it is smaller than the sum of its proper divisors (1100343552).

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

467056128 is a wasteful number, since it uses less digits than its factorization.

467056128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 467056128 is about 21611.4813930003. The cubic root of 467056128 is about 775.8713075282.

The spelling of 467056128 in words is "four hundred sixty-seven million, fifty-six thousand, one hundred twenty-eight".