398712 has 32 divisors (see below), whose sum is σ = 1026000. Its totient is φ = 129024.

The previous prime is 398711. The next prime is 398729. The reversal of 398712 is 217893.

Added to its reverse (217893) it gives a triangular number (616605 = T₁₁₁₀).

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 398712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398711) 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, 664 + ... + 1112.

2³⁹⁸⁷¹² 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 398712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513000).

398712 is an abundant number, since it is smaller than the sum of its proper divisors (627288).

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

398712 is a wasteful number, since it uses less digits than its factorization.

398712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 491 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 398712 is about 631.4364576107. The cubic root of 398712 is about 73.6014610611.

Adding to 398712 its reverse (217893), we get a triangular number (616605 = T₁₁₁₀).

The spelling of 398712 in words is "three hundred ninety-eight thousand, seven hundred twelve".