472054263408 has 480 divisors, whose sum is σ = 1725134028800. Its totient is φ = 117008769024.

The previous prime is 472054263391. The next prime is 472054263413. The reversal of 472054263408 is 804362450274.

It is a happy number.

472054263408 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 5 + 4 + 2 + 634 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31612488 + ... + 31627416.

Almost surely, 2^472054263408 is an apocalyptic number.

472054263408 is a gapful number since it is divisible by the number (48) 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 472054263408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862567014400).

472054263408 is an abundant number, since it is smaller than the sum of its proper divisors (1253079765392).

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

472054263408 is a wasteful number, since it uses less digits than its factorization.

472054263408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15109 (or 15100 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 472054263408 in words is "four hundred seventy-two billion, fifty-four million, two hundred sixty-three thousand, four hundred eight".