470776720 has 40 divisors (see below), whose sum is σ = 1132304760. Its totient is φ = 181816320.

The previous prime is 470776697. The next prime is 470776723. The reversal of 470776720 is 27677074.

It can be written as a sum of positive squares in 4 ways, for example, as 4734976 + 466041744 = 2176^2 + 21588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (470776723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99141 + ... + 103780.

It is an arithmetic number, because the mean of its divisors is an integer number (28307619).

Almost surely, 2^470776720 is an apocalyptic number.

470776720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470776720 is an abundant number, since it is smaller than the sum of its proper divisors (661528040).

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

470776720 is a wasteful number, since it uses less digits than its factorization.

470776720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202963 (or 202957 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 40.

The square root of 470776720 is about 21697.3897047548. The cubic root of 470776720 is about 777.9260706510.

The spelling of 470776720 in words is "four hundred seventy million, seven hundred seventy-six thousand, seven hundred twenty".