467311680 has 420 divisors, whose sum is σ = 1839429900. Its totient is φ = 112527360.

The previous prime is 467311679. The next prime is 467311687. The reversal of 467311680 is 86113764.

467311680 is a `hidden beast` number, since 467 + 3 + 116 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 361304064 = 10296^2 + 19008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (467311687) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3136246 + ... + 3136394.

It is an arithmetic number, because the mean of its divisors is an integer number (4379595).

Almost surely, 2^467311680 is an apocalyptic number.

467311680 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 467311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919714950).

467311680 is an abundant number, since it is smaller than the sum of its proper divisors (1372118220).

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

467311680 is a wasteful number, since it uses less digits than its factorization.

467311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 467311680 is about 21617.3929973066. The cubic root of 467311680 is about 776.0127889627.

The spelling of 467311680 in words is "four hundred sixty-seven million, three hundred eleven thousand, six hundred eighty".