400461 has 8 divisors (see below), whose sum is σ = 552480. Its totient is φ = 257712.

The previous prime is 400457. The next prime is 400471. The reversal of 400461 is 164004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 400461 - 2² = 400457 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 400461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2215 + ... + 2388.

It is an arithmetic number, because the mean of its divisors is an integer number (69060).

2⁴⁰⁰⁴⁶¹ is an apocalyptic number.

It is an amenable number.

400461 is a deficient number, since it is larger than the sum of its proper divisors (152019).

400461 is a wasteful number, since it uses less digits than its factorization.

400461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 400461 is about 632.8198795866. The cubic root of 400461 is about 73.7089247477.

Adding to 400461 its reverse (164004), we get a palindrome (564465).

It can be divided in two parts, 400 and 461, that added together give a triangular number (861 = T₄₁).

The spelling of 400461 in words is "four hundred thousand, four hundred sixty-one".