461972 has 18 divisors (see below), whose sum is σ = 940842. Its totient is φ = 197904.

The previous prime is 461971. The next prime is 461977. The reversal of 461972 is 279164.

461972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 329476 + 132496 = 574^2 + 364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 983 + ... + 1374.

It is an arithmetic number, because the mean of its divisors is an integer number (52269).

2⁴⁶¹⁹⁷² is an apocalyptic number.

It is an amenable number.

461972 is an abundant number, since it is smaller than the sum of its proper divisors (478870).

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

461972 is a wasteful number, since it uses less digits than its factorization.

461972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2366 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 461972 is about 679.6852212605. The cubic root of 461972 is about 77.3045787534.

The spelling of 461972 in words is "four hundred sixty-one thousand, nine hundred seventy-two".