467301672 has 72 divisors (see below), whose sum is σ = 1323135450. Its totient is φ = 148982592.

The previous prime is 467301631. The next prime is 467301673. The reversal of 467301672 is 276103764.

467301672 is a `hidden beast` number, since 467 + 30 + 167 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 288116676 + 179184996 = 16974^2 + 13386^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×467301672³ (a number of 27 digits) contains 333 as substring.

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 (467301673) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31954 + ... + 44222.

Almost surely, 2^467301672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467301672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661567725).

467301672 is an abundant number, since it is smaller than the sum of its proper divisors (855833778).

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

467301672 is a wasteful number, since it uses less digits than its factorization.

467301672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12327 (or 12297 counting only the distinct ones).

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

The square root of 467301672 is about 21617.1615157957. The cubic root of 467301672 is about 776.0072491972.

The spelling of 467301672 in words is "four hundred sixty-seven million, three hundred one thousand, six hundred seventy-two".