470261760 has 224 divisors, whose sum is σ = 1557040320. Its totient is φ = 121110528.

The previous prime is 470261713. The next prime is 470261773. The reversal of 470261760 is 67162074.

It is a super-2 number, since 2×470261760² = 442292245836595200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5283796 + ... + 5283884.

Almost surely, 2^470261760 is an apocalyptic number.

470261760 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 470261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778520160).

470261760 is an abundant number, since it is smaller than the sum of its proper divisors (1086778560).

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

470261760 is an equidigital number, since it uses as much as digits as its factorization.

470261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 470261760 is about 21685.5195925761. The cubic root of 470261760 is about 777.6423218680.

The spelling of 470261760 in words is "four hundred seventy million, two hundred sixty-one thousand, seven hundred sixty".