467880480 has 144 divisors (see below), whose sum is σ = 1612951704. Its totient is φ = 123494400.

The previous prime is 467880451. The next prime is 467880481. The reversal of 467880480 is 84088764.

It can be written as a sum of positive squares in 4 ways, for example, as 466041744 + 1838736 = 21588^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (467880481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143832 + ... + 147048.

Almost surely, 2^467880480 is an apocalyptic number.

467880480 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 467880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806475852).

467880480 is an abundant number, since it is smaller than the sum of its proper divisors (1145071224).

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

467880480 is a wasteful number, since it uses less digits than its factorization.

467880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 467880480 is about 21630.5450694151. The cubic root of 467880480 is about 776.3275090442.

It can be divided in two parts, 4678 and 80480, that added together give a palindrome (85158).

The spelling of 467880480 in words is "four hundred sixty-seven million, eight hundred eighty thousand, four hundred eighty".