471019680 has 288 divisors, whose sum is σ = 1732243968. Its totient is φ = 116121600.

The previous prime is 471019669. The next prime is 471019693. The reversal of 471019680 is 86910174.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1737945 + ... + 1738215.

It is an arithmetic number, because the mean of its divisors is an integer number (6014736).

Almost surely, 2^471019680 is an apocalyptic number.

471019680 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 471019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866121984).

471019680 is an abundant number, since it is smaller than the sum of its proper divisors (1261224288).

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

471019680 is a wasteful number, since it uses less digits than its factorization.

471019680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 471019680 is about 21702.9878127414. The cubic root of 471019680 is about 778.0598725188.

The spelling of 471019680 in words is "four hundred seventy-one million, nineteen thousand, six hundred eighty".