400431461 has 8 divisors (see below), whose sum is σ = 411999000. Its totient is φ = 388949760.

The previous prime is 400431419. The next prime is 400431527. The reversal of 400431461 is 164134004.

It can be written as a sum of positive squares in 4 ways, for example, as 68973025 + 331458436 = 8305^2 + 18206^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 400431461 - 2⁶ = 400431397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400431401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11936 + ... + 30713.

It is an arithmetic number, because the mean of its divisors is an integer number (51499875).

Almost surely, 2^400431461 is an apocalyptic number.

400431461 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

400431461 is a deficient number, since it is larger than the sum of its proper divisors (11567539).

400431461 is a wasteful number, since it uses less digits than its factorization.

400431461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42919.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 400431461 is about 20010.7836178397. The cubic root of 400431461 is about 737.0711238522.

Adding to 400431461 its reverse (164134004), we get a palindrome (564565465).

The spelling of 400431461 in words is "four hundred million, four hundred thirty-one thousand, four hundred sixty-one".