471198240 has 288 divisors, whose sum is σ = 1723752576. Its totient is φ = 116920320.

The previous prime is 471198227. The next prime is 471198313. The reversal of 471198240 is 42891174.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 471198195 and 471198204.

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, 1357747 + ... + 1358093.

It is an arithmetic number, because the mean of its divisors is an integer number (5985252).

Almost surely, 2^471198240 is an apocalyptic number.

471198240 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 471198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861876288).

471198240 is an abundant number, since it is smaller than the sum of its proper divisors (1252554336).

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

471198240 is a wasteful number, since it uses less digits than its factorization.

471198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 471198240 is about 21707.1011422530. The cubic root of 471198240 is about 778.1581789694.

The spelling of 471198240 in words is "four hundred seventy-one million, one hundred ninety-eight thousand, two hundred forty".