352022400 has 288 divisors, whose sum is σ = 1331834400. Its totient is φ = 88227840.

The previous prime is 352022393. The next prime is 352022413. The reversal of 352022400 is 4220253.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489241 + ... + 489959.

It is an arithmetic number, because the mean of its divisors is an integer number (4624425).

Almost surely, 2^352022400 is an apocalyptic number.

352022400 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 352022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665917200).

352022400 is an abundant number, since it is smaller than the sum of its proper divisors (979812000).

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

352022400 is a wasteful number, since it uses less digits than its factorization.

352022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 352022400 is about 18762.2599918027. The cubic root of 352022400 is about 706.0846439829.

Adding to 352022400 its reverse (4220253), we get a palindrome (356242653).

The spelling of 352022400 in words is "three hundred fifty-two million, twenty-two thousand, four hundred".