407016 has 24 divisors (see below), whose sum is σ = 1102530. Its totient is φ = 135648.

The previous prime is 406993. The next prime is 407023. The reversal of 407016 is 610704.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 108900 = 546^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 407016.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2755 + ... + 2898.

2⁴⁰⁷⁰¹⁶ is an apocalyptic number.

It is an amenable number.

407016 is an abundant number, since it is smaller than the sum of its proper divisors (695514).

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

407016 is a wasteful number, since it uses less digits than its factorization.

407016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 407016 is about 637.9780560490. The cubic root of 407016 is about 74.1089216530.

It can be divided in two parts, 40 and 7016, that added together give a square (7056 = 84²).

The spelling of 407016 in words is "four hundred seven thousand, sixteen".