472159860480 has 2880 divisors, whose sum is σ = 2307829708800. Its totient is φ = 91039334400.

The previous prime is 472159860461. The next prime is 472159860493. The reversal of 472159860480 is 84068951274.

It is a happy number.

472159860480 is a `hidden beast` number, since 4 + 7 + 2 + 1 + 598 + 6 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6650138845 + ... + 6650138915.

It is an arithmetic number, because the mean of its divisors is an integer number (801329760).

Almost surely, 2^472159860480 is an apocalyptic number.

472159860480 is a gapful number since it is divisible by the number (40) 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 472159860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153914854400).

472159860480 is an abundant number, since it is smaller than the sum of its proper divisors (1835669848320).

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

472159860480 is a wasteful number, since it uses less digits than its factorization.

472159860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 472159860480 in words is "four hundred seventy-two billion, one hundred fifty-nine million, eight hundred sixty thousand, four hundred eighty".