470949768 has 128 divisors (see below), whose sum is σ = 1373721600. Its totient is φ = 149299200.

The previous prime is 470949757. The next prime is 470949797. The reversal of 470949768 is 867949074.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407880 + ... + 409032.

It is an arithmetic number, because the mean of its divisors is an integer number (10732200).

Almost surely, 2^470949768 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 470949768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686860800).

470949768 is an abundant number, since it is smaller than the sum of its proper divisors (902771832).

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

470949768 is a wasteful number, since it uses less digits than its factorization.

470949768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 470949768 is about 21701.3770991612. The cubic root of 470949768 is about 778.0213756042.

The spelling of 470949768 in words is "four hundred seventy million, nine hundred forty-nine thousand, seven hundred sixty-eight".