467689320 has 144 divisors (see below), whose sum is σ = 1768218660. Its totient is φ = 106896384.

The previous prime is 467689309. The next prime is 467689357. The reversal of 467689320 is 23986764.

It can be written as a sum of positive squares in 2 ways, for example, as 439237764 + 28451556 = 20958^2 + 5334^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4384 + ... + 30896.

Almost surely, 2^467689320 is an apocalyptic number.

467689320 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 467689320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884109330).

467689320 is an abundant number, since it is smaller than the sum of its proper divisors (1300529340).

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

467689320 is a wasteful number, since it uses less digits than its factorization.

467689320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26544 (or 26530 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 467689320 is about 21626.1258666456. The cubic root of 467689320 is about 776.2217676648.

The spelling of 467689320 in words is "four hundred sixty-seven million, six hundred eighty-nine thousand, three hundred twenty".