472127616 has 192 divisors, whose sum is σ = 1445764320. Its totient is φ = 153280512.

The previous prime is 472127611. The next prime is 472127641. The reversal of 472127616 is 616721274.

472127616 is a `hidden beast` number, since 472 + 127 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (472127611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337296 + ... + 1337648.

Almost surely, 2^472127616 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 472127616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722882160).

472127616 is an abundant number, since it is smaller than the sum of its proper divisors (973636704).

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

472127616 is an equidigital number, since it uses as much as digits as its factorization.

472127616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 401 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 472127616 is about 21728.4977851668. The cubic root of 472127616 is about 778.6694475621.

The spelling of 472127616 in words is "four hundred seventy-two million, one hundred twenty-seven thousand, six hundred sixteen".