461776 has 60 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 181440.

The previous prime is 461717. The next prime is 461801. The reversal of 461776 is 677164.

It is a Harshad number since it is a multiple of its sum of digits (31).

Its product of digits (7056) is a multiple of the sum of its prime factors (72).

It is a congruent number.

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, 14881 + ... + 14911.

It is an arithmetic number, because the mean of its divisors is an integer number (18848).

2⁴⁶¹⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565440).

461776 is an abundant number, since it is smaller than the sum of its proper divisors (669104).

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

461776 is a wasteful number, since it uses less digits than its factorization.

461776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 461776 is about 679.5410215726. The cubic root of 461776 is about 77.2936445837.

The spelling of 461776 in words is "four hundred sixty-one thousand, seven hundred seventy-six".