472464510336 has 2048 divisors, whose sum is σ = 1930199040000. Its totient is φ = 112661176320.

The previous prime is 472464510317. The next prime is 472464510383. The reversal of 472464510336 is 633015464274.

472464510336 is a `hidden beast` number, since 4 + 72 + 4 + 64 + 510 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 472464510291 and 472464510300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10987546731 + ... + 10987546773.

It is an arithmetic number, because the mean of its divisors is an integer number (942480000).

Almost surely, 2^472464510336 is an apocalyptic number.

472464510336 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472464510336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965099520000).

472464510336 is an abundant number, since it is smaller than the sum of its proper divisors (1457734529664).

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

472464510336 is a wasteful number, since it uses less digits than its factorization.

472464510336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 472464510336 in words is "four hundred seventy-two billion, four hundred sixty-four million, five hundred ten thousand, three hundred thirty-six".