467972 has 6 divisors (see below), whose sum is σ = 818958. Its totient is φ = 233984.

The previous prime is 467963. The next prime is 467977. The reversal of 467972 is 279764.

It can be written as a sum of positive squares in only one way, i.e., 430336 + 37636 = 656^2 + 194^2 .

It is not an unprimeable number, because it can be changed into a prime (467977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58493 + ... + 58500.

It is an arithmetic number, because the mean of its divisors is an integer number (136493).

2⁴⁶⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

467972 is a deficient number, since it is larger than the sum of its proper divisors (350986).

467972 is a wasteful number, since it uses less digits than its factorization.

467972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116997 (or 116995 counting only the distinct ones).

The product of its digits is 21168, while the sum is 35.

The square root of 467972 is about 684.0847900663. The cubic root of 467972 is about 77.6378123724.

It can be divided in two parts, 4 and 67972, that added together give a palindrome (67976).

The spelling of 467972 in words is "four hundred sixty-seven thousand, nine hundred seventy-two".