352002400 has 72 divisors (see below), whose sum is σ = 863241624. Its totient is φ = 140160000.

The previous prime is 352002383. The next prime is 352002403. The reversal of 352002400 is 4200253.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352002403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199924 + ... + 201676.

It is an arithmetic number, because the mean of its divisors is an integer number (11989467).

Almost surely, 2^352002400 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 352002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431620812).

352002400 is an abundant number, since it is smaller than the sum of its proper divisors (511239224).

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

352002400 is a wasteful number, since it uses less digits than its factorization.

352002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 352002400 is about 18761.7269993996. The cubic root of 352002400 is about 706.0712717654.

Adding to 352002400 its reverse (4200253), we get a palindrome (356202653).

The spelling of 352002400 in words is "three hundred fifty-two million, two thousand, four hundred".