471407328 has 288 divisors, whose sum is σ = 1668925440. Its totient is φ = 123171840.

The previous prime is 471407303. The next prime is 471407341. The reversal of 471407328 is 823704174.

It is a happy number.

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 = 471407292 and 471407301.

It is a congruent number.

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, 1187226 + ... + 1187622.

It is an arithmetic number, because the mean of its divisors is an integer number (5794880).

Almost surely, 2^471407328 is an apocalyptic number.

471407328 is a gapful number since it is divisible by the number (48) 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 471407328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834462720).

471407328 is an abundant number, since it is smaller than the sum of its proper divisors (1197518112).

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

471407328 is a wasteful number, since it uses less digits than its factorization.

471407328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 471407328 is about 21711.9167279170. The cubic root of 471407328 is about 778.2732610896.

The spelling of 471407328 in words is "four hundred seventy-one million, four hundred seven thousand, three hundred twenty-eight".