400712 has 16 divisors (see below), whose sum is σ = 809340. Its totient is φ = 184896.

The previous prime is 400711. The next prime is 400721. The reversal of 400712 is 217004.

Added to its reverse (217004) it gives a triangular number (617716 = T₁₁₁₁).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 391876 + 8836 = 626^2 + 94^2 .

It is not an unprimeable number, because it can be changed into a prime (400711) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1823 + ... + 2030.

2⁴⁰⁰⁷¹² is an apocalyptic number.

It is an amenable number.

400712 is an abundant number, since it is smaller than the sum of its proper divisors (408628).

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

400712 is a wasteful number, since it uses less digits than its factorization.

400712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 400712 is about 633.0181671959. The cubic root of 400712 is about 73.7243212334.

Adding to 400712 its reverse (217004), we get a palindrome (617716).

It can be divided in two parts, 4007 and 12, that multiplied together give a palindrome (48084).

The spelling of 400712 in words is "four hundred thousand, seven hundred twelve", and thus it is an iban number.