471774240 has 192 divisors, whose sum is σ = 1887217920. Its totient is φ = 107827200.

The previous prime is 471774239. The next prime is 471774271. The reversal of 471774240 is 42477174.

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 = 471774195 and 471774204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22440 + ... + 38040.

It is an arithmetic number, because the mean of its divisors is an integer number (9829260).

Almost surely, 2^471774240 is an apocalyptic number.

471774240 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 471774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943608960).

471774240 is an abundant number, since it is smaller than the sum of its proper divisors (1415443680).

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

471774240 is a wasteful number, since it uses less digits than its factorization.

471774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15632 (or 15618 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 471774240 is about 21720.3646378232. The cubic root of 471774240 is about 778.4751273791.

The spelling of 471774240 in words is "four hundred seventy-one million, seven hundred seventy-four thousand, two hundred forty".