472424832 has 384 divisors, whose sum is σ = 1653379200. Its totient is φ = 131604480.

The previous prime is 472424749. The next prime is 472424833. The reversal of 472424832 is 238424274.

It is a tau number, because it is divible by the number of its divisors (384).

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 (472424833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10986603 + ... + 10986645.

It is an arithmetic number, because the mean of its divisors is an integer number (4305675).

Almost surely, 2^472424832 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 472424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826689600).

472424832 is an abundant number, since it is smaller than the sum of its proper divisors (1180954368).

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

472424832 is a wasteful number, since it uses less digits than its factorization.

472424832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 472424832 is about 21735.3360222473. The cubic root of 472424832 is about 778.8328105056.

The spelling of 472424832 in words is "four hundred seventy-two million, four hundred twenty-four thousand, eight hundred thirty-two".