461772 has 36 divisors (see below), whose sum is σ = 1188096. Its totient is φ = 151200.

The previous prime is 461717. The next prime is 461801. The reversal of 461772 is 277164.

461772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3573 + ... + 3699.

2⁴⁶¹⁷⁷² is an apocalyptic number.

It is an amenable number.

461772 is an abundant number, since it is smaller than the sum of its proper divisors (726324).

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

461772 is a wasteful number, since it uses less digits than its factorization.

461772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 461772 is about 679.5380784033. The cubic root of 461772 is about 77.2934214052.

It can be divided in two parts, 4 and 61772, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 461772 in words is "four hundred sixty-one thousand, seven hundred seventy-two".