461412 has 36 divisors (see below), whose sum is σ = 1333696. Its totient is φ = 131760.

The previous prime is 461411. The next prime is 461413. The reversal of 461412 is 214164.

It is an interprime number because it is at equal distance from previous prime (461411) and next prime (461413).

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 (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (461411) 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, 664 + ... + 1167.

2⁴⁶¹⁴¹² is an apocalyptic number.

461412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

461412 is an abundant number, since it is smaller than the sum of its proper divisors (872284).

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

461412 is a wasteful number, since it uses less digits than its factorization.

461412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1843 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 461412 is about 679.2731409382. The cubic root of 461412 is about 77.2733300572.

Adding to 461412 its reverse (214164), we get a palindrome (675576).

It can be divided in two parts, 4 and 61412, that added together give a palindrome (61416).

The spelling of 461412 in words is "four hundred sixty-one thousand, four hundred twelve".