471696000 has 256 divisors, whose sum is σ = 1619205120. Its totient is φ = 121344000.

The previous prime is 471695993. The next prime is 471696047. The reversal of 471696000 is 696174.

It is a happy number.

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, 1487842 + ... + 1488158.

It is an arithmetic number, because the mean of its divisors is an integer number (6325020).

Almost surely, 2^471696000 is an apocalyptic number.

471696000 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 471696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809602560).

471696000 is an abundant number, since it is smaller than the sum of its proper divisors (1147509120).

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

471696000 is a wasteful number, since it uses less digits than its factorization.

471696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 471696000 is about 21718.5634884078. The cubic root of 471696000 is about 778.4320903668.

The spelling of 471696000 in words is "four hundred seventy-one million, six hundred ninety-six thousand".