471960000 has 560 divisors, whose sum is σ = 1904390400. Its totient is φ = 114048000.

The previous prime is 471959951. The next prime is 471960017. The reversal of 471960000 is 69174.

471960000 is a `hidden beast` number, since 47 + 19 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20519989 + ... + 20520011.

Almost surely, 2^471960000 is an apocalyptic number.

471960000 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 471960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952195200).

471960000 is an abundant number, since it is smaller than the sum of its proper divisors (1432430400).

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

471960000 is a wasteful number, since it uses less digits than its factorization.

471960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 471960000 is about 21724.6403882780. The cubic root of 471960000 is about 778.5772882233.

The spelling of 471960000 in words is "four hundred seventy-one million, nine hundred sixty thousand".