467285760 has 180 divisors, whose sum is σ = 1672404888. Its totient is φ = 124581888.

The previous prime is 467285747. The next prime is 467285801. The reversal of 467285760 is 67582764.

467285760 is a `hidden beast` number, since 4 + 6 + 72 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101427 + ... + 105933.

Almost surely, 2^467285760 is an apocalyptic number.

467285760 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 467285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836202444).

467285760 is an abundant number, since it is smaller than the sum of its proper divisors (1205119128).

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

467285760 is an equidigital number, since it uses as much as digits as its factorization.

467285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 467285760 is about 21616.7934717432. The cubic root of 467285760 is about 775.9984412056.

The spelling of 467285760 in words is "four hundred sixty-seven million, two hundred eighty-five thousand, seven hundred sixty".