352053432 has 128 divisors (see below), whose sum is σ = 1040160000. Its totient is φ = 110014848.

The previous prime is 352053407. The next prime is 352053469. The reversal of 352053432 is 234350253.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 352053396 and 352053405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446943 + ... + 447729.

It is an arithmetic number, because the mean of its divisors is an integer number (8126250).

Almost surely, 2^352053432 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 352053432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520080000).

352053432 is an abundant number, since it is smaller than the sum of its proper divisors (688106568).

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

352053432 is a wasteful number, since it uses less digits than its factorization.

352053432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 352053432 is about 18763.0869528444. The cubic root of 352053432 is about 706.1053913130.

The spelling of 352053432 in words is "three hundred fifty-two million, fifty-three thousand, four hundred thirty-two".