402672 has 20 divisors (see below), whose sum is σ = 1040360. Its totient is φ = 134208.

The previous prime is 402631. The next prime is 402691. The reversal of 402672 is 276204.

It is a happy number.

It is a super-3 number, since 3×402672³ = 195873439733305344, which contains 333 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

402672 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 3 ways as a sum of consecutive naturals, for example, 4147 + ... + 4242.

It is an arithmetic number, because the mean of its divisors is an integer number (52018).

2⁴⁰²⁶⁷² is an apocalyptic number.

It is an amenable number.

402672 is an abundant number, since it is smaller than the sum of its proper divisors (637688).

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

402672 is a wasteful number, since it uses less digits than its factorization.

402672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8400 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 402672 is about 634.5644175338. The cubic root of 402672 is about 73.8443282134.

Adding to 402672 its reverse (276204), we get a palindrome (678876).

The spelling of 402672 in words is "four hundred two thousand, six hundred seventy-two".