467258960 has 160 divisors (see below), whose sum is σ = 1301916672. Its totient is φ = 152616960.

The previous prime is 467258927. The next prime is 467258969. The reversal of 467258960 is 69852764.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467258969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078904 + ... + 1079336.

Almost surely, 2^467258960 is an apocalyptic number.

467258960 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 467258960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650958336).

467258960 is an abundant number, since it is smaller than the sum of its proper divisors (834657712).

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

467258960 is a wasteful number, since it uses less digits than its factorization.

467258960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 467258960 is about 21616.1735744326. The cubic root of 467258960 is about 775.9836057754.

The spelling of 467258960 in words is "four hundred sixty-seven million, two hundred fifty-eight thousand, nine hundred sixty".