470695680 has 432 divisors, whose sum is σ = 2008843200. Its totient is φ = 99090432.

The previous prime is 470695663. The next prime is 470695691. The reversal of 470695680 is 86596074.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

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, 1048096 + ... + 1048544.

It is an arithmetic number, because the mean of its divisors is an integer number (4650100).

Almost surely, 2^470695680 is an apocalyptic number.

470695680 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 470695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004421600).

470695680 is an abundant number, since it is smaller than the sum of its proper divisors (1538147520).

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

470695680 is a wasteful number, since it uses less digits than its factorization.

470695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 470695680 is about 21695.5221186308. The cubic root of 470695680 is about 777.8814304186.

The spelling of 470695680 in words is "four hundred seventy million, six hundred ninety-five thousand, six hundred eighty".