467256960 has 192 divisors, whose sum is σ = 1684126080. Its totient is φ = 119150592.

The previous prime is 467256953. The next prime is 467256971. The reversal of 467256960 is 69652764.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130717 + ... + 134243.

It is an arithmetic number, because the mean of its divisors is an integer number (8771490).

Almost surely, 2^467256960 is an apocalyptic number.

467256960 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 467256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842063040).

467256960 is an abundant number, since it is smaller than the sum of its proper divisors (1216869120).

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

467256960 is a wasteful number, since it uses less digits than its factorization.

467256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 467256960 is about 21616.1273127265. The cubic root of 467256960 is about 775.9824986310.

The spelling of 467256960 in words is "four hundred sixty-seven million, two hundred fifty-six thousand, nine hundred sixty".