467280960 has 112 divisors (see below), whose sum is σ = 1487887296. Its totient is φ = 124250112.

The previous prime is 467280959. The next prime is 467280991. The reversal of 467280960 is 69082764.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616902 + ... + 617658.

It is an arithmetic number, because the mean of its divisors is an integer number (13284708).

Almost surely, 2^467280960 is an apocalyptic number.

467280960 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 467280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743943648).

467280960 is an abundant number, since it is smaller than the sum of its proper divisors (1020606336).

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

467280960 is a wasteful number, since it uses less digits than its factorization.

467280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 467280960 is about 21616.6824466660. The cubic root of 467280960 is about 775.9957841554.

The spelling of 467280960 in words is "four hundred sixty-seven million, two hundred eighty thousand, nine hundred sixty".