470953824 has 96 divisors (see below), whose sum is σ = 1364065920. Its totient is φ = 141081600.

The previous prime is 470953811. The next prime is 470953849. The reversal of 470953824 is 428359074.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91479 + ... + 96489.

It is an arithmetic number, because the mean of its divisors is an integer number (14209020).

Almost surely, 2^470953824 is an apocalyptic number.

470953824 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 470953824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682032960).

470953824 is an abundant number, since it is smaller than the sum of its proper divisors (893112096).

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

470953824 is a wasteful number, since it uses less digits than its factorization.

470953824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 470953824 is about 21701.4705492508. The cubic root of 470953824 is about 778.0236091372.

It can be divided in two parts, 4 and 70953824, that added together give a triangular number (70953828 = T₁₁₉₁₂).

The spelling of 470953824 in words is "four hundred seventy million, nine hundred fifty-three thousand, eight hundred twenty-four".