407616 has 56 divisors (see below), whose sum is σ = 1182624. Its totient is φ = 122880.

The previous prime is 407599. The next prime is 407621. The reversal of 407616 is 616704.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2016 + ... + 2208.

2⁴⁰⁷⁶¹⁶ 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 407616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591312).

407616 is an abundant number, since it is smaller than the sum of its proper divisors (775008).

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

407616 is a wasteful number, since it uses less digits than its factorization.

407616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 407616 is about 638.4481184873. The cubic root of 407616 is about 74.1453195026.

The spelling of 407616 in words is "four hundred seven thousand, six hundred sixteen".