352889472 has 128 divisors (see below), whose sum is σ = 1017192960. Its totient is φ = 107753472.

The previous prime is 352889401. The next prime is 352889473. The reversal of 352889472 is 274988253.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (352889473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113058 + ... + 1113374.

It is an arithmetic number, because the mean of its divisors is an integer number (7946820).

Almost surely, 2^352889472 is an apocalyptic number.

352889472 is a gapful number since it is divisible by the number (32) 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 352889472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508596480).

352889472 is an abundant number, since it is smaller than the sum of its proper divisors (664303488).

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

352889472 is a wasteful number, since it uses less digits than its factorization.

352889472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 558 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 352889472 is about 18785.3525918467. The cubic root of 352889472 is about 706.6638914491.

The spelling of 352889472 in words is "three hundred fifty-two million, eight hundred eighty-nine thousand, four hundred seventy-two".