407855616 has 120 divisors (see below), whose sum is σ = 1264182480. Its totient is φ = 116508672.

The previous prime is 407855603. The next prime is 407855621. The reversal of 407855616 is 616558704.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72555 + ... + 77973.

It is an arithmetic number, because the mean of its divisors is an integer number (10534854).

Almost surely, 2^407855616 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 407855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632091240).

407855616 is an abundant number, since it is smaller than the sum of its proper divisors (856326864).

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

407855616 is an equidigital number, since it uses as much as digits as its factorization.

407855616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 407855616 is about 20195.4355238999. The cubic root of 407855616 is about 741.5984536740.

The spelling of 407855616 in words is "four hundred seven million, eight hundred fifty-five thousand, six hundred sixteen".