471255840 has 384 divisors, whose sum is σ = 1846333440. Its totient is φ = 111283200.

The previous prime is 471255773. The next prime is 471255847. The reversal of 471255840 is 48552174.

471255840 is a `hidden beast` number, since 4 + 71 + 2 + 5 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 471255795 and 471255804.

It is not an unprimeable number, because it can be changed into a prime (471255847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2233335 + ... + 2233545.

It is an arithmetic number, because the mean of its divisors is an integer number (4808160).

Almost surely, 2^471255840 is an apocalyptic number.

471255840 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 471255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923166720).

471255840 is an abundant number, since it is smaller than the sum of its proper divisors (1375077600).

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

471255840 is a wasteful number, since it uses less digits than its factorization.

471255840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 471255840 is about 21708.4278564801. The cubic root of 471255840 is about 778.1898854297.

The spelling of 471255840 in words is "four hundred seventy-one million, two hundred fifty-five thousand, eight hundred forty".