461840 has 40 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 176000.

The previous prime is 461819. The next prime is 461843. The reversal of 461840 is 48164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (461843) by changing a digit.

461840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1715 + ... + 1965.

2⁴⁶¹⁸⁴⁰ is an apocalyptic number.

461840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

461840 is an abundant number, since it is smaller than the sum of its proper divisors (663088).

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

461840 is a wasteful number, since it uses less digits than its factorization.

461840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 461840 is about 679.5881105493. The cubic root of 461840 is about 77.2972152650.

The spelling of 461840 in words is "four hundred sixty-one thousand, eight hundred forty".