352442400 has 288 divisors, whose sum is σ = 1237420800. Its totient is φ = 86860800.

The previous prime is 352442371. The next prime is 352442401. The reversal of 352442400 is 4244253.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (352442401) 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, 2690335 + ... + 2690465.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^352442400 is an apocalyptic number.

352442400 is a gapful number since it is divisible by the number (30) 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 352442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

352442400 is an abundant number, since it is smaller than the sum of its proper divisors (884978400).

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

352442400 is a wasteful number, since it uses less digits than its factorization.

352442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 352442400 is about 18773.4493367628. The cubic root of 352442400 is about 706.3653436276.

Adding to 352442400 its reverse (4244253), we get a palindrome (356686653).

The spelling of 352442400 in words is "three hundred fifty-two million, four hundred forty-two thousand, four hundred".