468972 has 36 divisors (see below), whose sum is σ = 1355536. Its totient is φ = 133920.

The previous prime is 468967. The next prime is 468973. The reversal of 468972 is 279864.

It is a tau number, because it is divible by the number of its divisors (36).

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

468972 is a modest number, since divided by 972 gives 468 as remainder.

It is not an unprimeable number, because it can be changed into a prime (468973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679 + ... + 1182.

2⁴⁶⁸⁹⁷² is an apocalyptic number.

468972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

468972 is an abundant number, since it is smaller than the sum of its proper divisors (886564).

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

468972 is a wasteful number, since it uses less digits than its factorization.

468972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1873 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 468972 is about 684.8153035673. The cubic root of 468972 is about 77.6930739244.

It can be divided in two parts, 4689 and 72, that added together give a square (4761 = 69²).

The spelling of 468972 in words is "four hundred sixty-eight thousand, nine hundred seventy-two".