407316 has 48 divisors (see below), whose sum is σ = 1172864. Its totient is φ = 107136.

The previous prime is 407311. The next prime is 407317. The reversal of 407316 is 613704.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 407292 and 407301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407311) by changing a digit.

407316 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 15 ways as a sum of consecutive naturals, for example, 906 + ... + 1278.

2⁴⁰⁷³¹⁶ 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 407316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586432).

407316 is an abundant number, since it is smaller than the sum of its proper divisors (765548).

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

407316 is a wasteful number, since it uses less digits than its factorization.

407316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 407316 is about 638.2131305450. The cubic root of 407316 is about 74.1271250458.

The spelling of 407316 in words is "four hundred seven thousand, three hundred sixteen".