471354240 has 256 divisors, whose sum is σ = 1818961920. Its totient is φ = 101351424.

The previous prime is 471354239. The next prime is 471354241. The reversal of 471354240 is 42453174.

It is an interprime number because it is at equal distance from previous prime (471354239) and next prime (471354241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 471354198 and 471354207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471354241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227449 + ... + 229511.

It is an arithmetic number, because the mean of its divisors is an integer number (7105320).

Almost surely, 2^471354240 is an apocalyptic number.

471354240 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 471354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909480960).

471354240 is an abundant number, since it is smaller than the sum of its proper divisors (1347607680).

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

471354240 is a wasteful number, since it uses less digits than its factorization.

471354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 471354240 is about 21710.6941390643. The cubic root of 471354240 is about 778.2440446565.

The spelling of 471354240 in words is "four hundred seventy-one million, three hundred fifty-four thousand, two hundred forty".