470779872 has 96 divisors (see below), whose sum is σ = 1308384000. Its totient is φ = 147806208.

The previous prime is 470779849. The next prime is 470779877. The reversal of 470779872 is 278977074.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470779877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362328 + ... + 363624.

It is an arithmetic number, because the mean of its divisors is an integer number (13629000).

Almost surely, 2^470779872 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 470779872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654192000).

470779872 is an abundant number, since it is smaller than the sum of its proper divisors (837604128).

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

470779872 is a wasteful number, since it uses less digits than its factorization.

470779872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 51.

The square root of 470779872 is about 21697.4623400987. The cubic root of 470779872 is about 777.9278068014.

The spelling of 470779872 in words is "four hundred seventy million, seven hundred seventy-nine thousand, eight hundred seventy-two".