352520448 has 144 divisors (see below), whose sum is σ = 1119261696. Its totient is φ = 96307200.

The previous prime is 352520447. The next prime is 352520453. The reversal of 352520448 is 844025253.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (352520447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 122223 + ... + 125073.

Almost surely, 2^352520448 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 352520448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559630848).

352520448 is an abundant number, since it is smaller than the sum of its proper divisors (766741248).

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

352520448 is a wasteful number, since it uses less digits than its factorization.

352520448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 352520448 is about 18775.5279020325. The cubic root of 352520448 is about 706.4174810675.

The spelling of 352520448 in words is "three hundred fifty-two million, five hundred twenty thousand, four hundred forty-eight".