472064160 has 288 divisors, whose sum is σ = 1637641152. Its totient is φ = 114196480.

The previous prime is 472064149. The next prime is 472064179. The reversal of 472064160 is 61460274.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5687479 + ... + 5687561.

It is an arithmetic number, because the mean of its divisors is an integer number (5686254).

Almost surely, 2^472064160 is an apocalyptic number.

472064160 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 472064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818820576).

472064160 is an abundant number, since it is smaller than the sum of its proper divisors (1165576992).

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

472064160 is a wasteful number, since it uses less digits than its factorization.

472064160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 472064160 is about 21727.0375339115. The cubic root of 472064160 is about 778.6345604816.

The spelling of 472064160 in words is "four hundred seventy-two million, sixty-four thousand, one hundred sixty".