471429504 has 256 divisors, whose sum is σ = 1713600000. Its totient is φ = 124250112.

The previous prime is 471429473. The next prime is 471429509. The reversal of 471429504 is 405924174.

It is a happy number.

471429504 is a `hidden beast` number, since 4 + 7 + 142 + 9 + 504 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471429509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313747 + ... + 315245.

It is an arithmetic number, because the mean of its divisors is an integer number (6693750).

Almost surely, 2^471429504 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 471429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856800000).

471429504 is an abundant number, since it is smaller than the sum of its proper divisors (1242170496).

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

471429504 is a wasteful number, since it uses less digits than its factorization.

471429504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 471429504 is about 21712.4274092051. The cubic root of 471429504 is about 778.2854647729.

The spelling of 471429504 in words is "four hundred seventy-one million, four hundred twenty-nine thousand, five hundred four".