470929744 has 40 divisors (see below), whose sum is σ = 972656000. Its totient is φ = 220237056.

The previous prime is 470929729. The next prime is 470929757. The reversal of 470929744 is 447929074.

It is a junction number, because it is equal to n+sod(n) for n = 470929694 and 470929703.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14212 + ... + 33820.

It is an arithmetic number, because the mean of its divisors is an integer number (24316400).

Almost surely, 2^470929744 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 470929744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486328000).

470929744 is an abundant number, since it is smaller than the sum of its proper divisors (501726256).

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

470929744 is a wasteful number, since it uses less digits than its factorization.

470929744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19715 (or 19709 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 470929744 is about 21700.9157410465. The cubic root of 470929744 is about 778.0103487234.

It can be divided in two parts, 4709 and 29744, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 470929744 in words is "four hundred seventy million, nine hundred twenty-nine thousand, seven hundred forty-four".