467671320 has 320 divisors, whose sum is σ = 1693612800. Its totient is φ = 115395840.

The previous prime is 467671319. The next prime is 467671327. The reversal of 467671320 is 23176764.

467671320 is a `hidden beast` number, since 467 + 67 + 132 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467671327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4370707 + ... + 4370813.

It is an arithmetic number, because the mean of its divisors is an integer number (5292540).

Almost surely, 2^467671320 is an apocalyptic number.

467671320 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 467671320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846806400).

467671320 is an abundant number, since it is smaller than the sum of its proper divisors (1225941480).

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

467671320 is a wasteful number, since it uses less digits than its factorization.

467671320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 467671320 is about 21625.7096993370. The cubic root of 467671320 is about 776.2118093652.

The spelling of 467671320 in words is "four hundred sixty-seven million, six hundred seventy-one thousand, three hundred twenty".