470029824 has 240 divisors, whose sum is σ = 1534745520. Its totient is φ = 141926400.

The previous prime is 470029801. The next prime is 470029831. The reversal of 470029824 is 428920074.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672564 + ... + 1672844.

It is an arithmetic number, because the mean of its divisors is an integer number (6394773).

Almost surely, 2^470029824 is an apocalyptic number.

470029824 is a gapful number since it is divisible by the number (44) 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 470029824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767372760).

470029824 is an abundant number, since it is smaller than the sum of its proper divisors (1064715696).

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

470029824 is a wasteful number, since it uses less digits than its factorization.

470029824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 470029824 is about 21680.1712170361. The cubic root of 470029824 is about 777.5144548479.

Adding to 470029824 its reverse (428920074), we get a palindrome (898949898).

The spelling of 470029824 in words is "four hundred seventy million, twenty-nine thousand, eight hundred twenty-four".