407916 has 30 divisors (see below), whose sum is σ = 1067220. Its totient is φ = 135864.

The previous prime is 407899. The next prime is 407917. The reversal of 407916 is 619704.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 407916.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407916.

It is not an unprimeable number, because it can be changed into a prime (407917) by changing a digit.

407916 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 9 ways as a sum of consecutive naturals, for example, 306 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (35574).

2⁴⁰⁷⁹¹⁶ is an apocalyptic number.

It is an amenable number.

407916 is an abundant number, since it is smaller than the sum of its proper divisors (659304).

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

407916 is a wasteful number, since it uses less digits than its factorization.

407916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 407916 is about 638.6830199716. The cubic root of 407916 is about 74.1635050343.

It can be divided in two parts, 4079 and 16, that added together give a triangular number (4095 = T₉₀).

The spelling of 407916 in words is "four hundred seven thousand, nine hundred sixteen".