471192480 has 288 divisors, whose sum is σ = 1774700928. Its totient is φ = 112896000.

The previous prime is 471192473. The next prime is 471192481. The reversal of 471192480 is 84291174.

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 not an unprimeable number, because it can be changed into a prime (471192481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2391742 + ... + 2391938.

It is an arithmetic number, because the mean of its divisors is an integer number (6162156).

Almost surely, 2^471192480 is an apocalyptic number.

471192480 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 471192480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887350464).

471192480 is an abundant number, since it is smaller than the sum of its proper divisors (1303508448).

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

471192480 is a wasteful number, since it uses less digits than its factorization.

471192480 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 471192480 is about 21706.9684663704. The cubic root of 471192480 is about 778.1550081813.

The spelling of 471192480 in words is "four hundred seventy-one million, one hundred ninety-two thousand, four hundred eighty".