471329280 has 200 divisors, whose sum is σ = 1688895252. Its totient is φ = 125632512.

The previous prime is 471329269. The next prime is 471329281. The reversal of 471329280 is 82923174.

It can be written as a sum of positive squares in 2 ways, for example, as 460359936 + 10969344 = 21456^2 + 3312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (471329281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206224 + ... + 208496.

Almost surely, 2^471329280 is an apocalyptic number.

471329280 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 471329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844447626).

471329280 is an abundant number, since it is smaller than the sum of its proper divisors (1217565972).

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

471329280 is an equidigital number, since it uses as much as digits as its factorization.

471329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 471329280 is about 21710.1192995340. The cubic root of 471329280 is about 778.2303074198.

The spelling of 471329280 in words is "four hundred seventy-one million, three hundred twenty-nine thousand, two hundred eighty".