470727936 has 432 divisors, whose sum is σ = 1714212864. Its totient is φ = 125908992.

The previous prime is 470727877. The next prime is 470727937. The reversal of 470727936 is 639727074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 470727891 and 470727900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470727937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10015465 + ... + 10015511.

Almost surely, 2^470727936 is an apocalyptic number.

470727936 is a gapful number since it is divisible by the number (46) 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 470727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857106432).

470727936 is an abundant number, since it is smaller than the sum of its proper divisors (1243484928).

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

470727936 is an equidigital number, since it uses as much as digits as its factorization.

470727936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 470727936 is about 21696.2654851013. The cubic root of 470727936 is about 777.8991989907.

The spelling of 470727936 in words is "four hundred seventy million, seven hundred twenty-seven thousand, nine hundred thirty-six".