467299760 has 80 divisors (see below), whose sum is σ = 1104840000. Its totient is φ = 183794688.

The previous prime is 467299753. The next prime is 467299769. The reversal of 467299760 is 67992764.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 467299699 and 467299708.

It is not an unprimeable number, because it can be changed into a prime (467299769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2348141 + ... + 2348339.

It is an arithmetic number, because the mean of its divisors is an integer number (13810500).

Almost surely, 2^467299760 is an apocalyptic number.

467299760 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 467299760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552420000).

467299760 is an abundant number, since it is smaller than the sum of its proper divisors (637540240).

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

467299760 is a wasteful number, since it uses less digits than its factorization.

467299760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The square root of 467299760 is about 21617.1172916279. The cubic root of 467299760 is about 776.0061908317.

The spelling of 467299760 in words is "four hundred sixty-seven million, two hundred ninety-nine thousand, seven hundred sixty".