471957948 has 384 divisors, whose sum is σ = 1677312000. Its totient is φ = 111041280.

The previous prime is 471957931. The next prime is 471957991. The reversal of 471957948 is 849759174.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 471957894 and 471957903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4582065 + ... + 4582167.

It is an arithmetic number, because the mean of its divisors is an integer number (4368000).

Almost surely, 2^471957948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471957948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838656000).

471957948 is an abundant number, since it is smaller than the sum of its proper divisors (1205354052).

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

471957948 is a wasteful number, since it uses less digits than its factorization.

471957948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 471957948 is about 21724.5931607476. The cubic root of 471957948 is about 778.5761598488.

The spelling of 471957948 in words is "four hundred seventy-one million, nine hundred fifty-seven thousand, nine hundred forty-eight".