472636512 has 192 divisors, whose sum is σ = 1434101760. Its totient is φ = 151345152.

The previous prime is 472636501. The next prime is 472636517. The reversal of 472636512 is 215636274.

472636512 is a `hidden beast` number, since 4 + 7 + 2 + 636 + 5 + 12 = 666.

It is a super-2 number, since 2×472636512² = 446770544951052288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472636517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4182568 + ... + 4182680.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2^472636512 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 472636512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

472636512 is an abundant number, since it is smaller than the sum of its proper divisors (961465248).

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

472636512 is a wasteful number, since it uses less digits than its factorization.

472636512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 472636512 is about 21740.2049668351. The cubic root of 472636512 is about 778.9491173413.

The spelling of 472636512 in words is "four hundred seventy-two million, six hundred thirty-six thousand, five hundred twelve".