461640 has 32 divisors (see below), whose sum is σ = 1385280. Its totient is φ = 123072.

The previous prime is 461639. The next prime is 461653. The reversal of 461640 is 46164.

461640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×461640² = 426222979200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1804 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (43290).

2⁴⁶¹⁶⁴⁰ is an apocalyptic number.

461640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461640 is an abundant number, since it is smaller than the sum of its proper divisors (923640).

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

461640 is a wasteful number, since it uses less digits than its factorization.

461640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 461640 is about 679.4409466613. The cubic root of 461640 is about 77.2860557904.

It can be divided in two parts, 4616 and 40, that added together give a triangular number (4656 = T₉₆).

The spelling of 461640 in words is "four hundred sixty-one thousand, six hundred forty".