467776960 has 224 divisors, whose sum is σ = 1389888000. Its totient is φ = 146313216.

The previous prime is 467776951. The next prime is 467776973. The reversal of 467776960 is 69677764.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 467776898 and 467776907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234051 + ... + 1234429.

Almost surely, 2^467776960 is an apocalyptic number.

467776960 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 467776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944000).

467776960 is an abundant number, since it is smaller than the sum of its proper divisors (922111040).

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

467776960 is a wasteful number, since it uses less digits than its factorization.

467776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 52.

The square root of 467776960 is about 21628.1520246183. The cubic root of 467776960 is about 776.2702498687.

The spelling of 467776960 in words is "four hundred sixty-seven million, seven hundred seventy-six thousand, nine hundred sixty".