352544400 has 480 divisors, whose sum is σ = 1412131840. Its totient is φ = 83980800.

The previous prime is 352544377. The next prime is 352544443. The reversal of 352544400 is 4445253.

352544400 is a `hidden beast` number, since 3 + 5 + 254 + 4 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11372385 + ... + 11372415.

Almost surely, 2^352544400 is an apocalyptic number.

352544400 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 352544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706065920).

352544400 is an abundant number, since it is smaller than the sum of its proper divisors (1059587440).

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

352544400 is a wasteful number, since it uses less digits than its factorization.

352544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 352544400 is about 18776.1657427708. The cubic root of 352544400 is about 706.4334798825.

Adding to 352544400 its reverse (4445253), we get a palindrome (356989653).

The spelling of 352544400 in words is "three hundred fifty-two million, five hundred forty-four thousand, four hundred".