353342400 has 84 divisors (see below), whose sum is σ = 1159273272. Its totient is φ = 94223360.

The previous prime is 353342369. The next prime is 353342417. The reversal of 353342400 is 4243353.

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

It is a congruent number.

It is an unprimeable number.

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, 32007 + ... + 41606.

Almost surely, 2^353342400 is an apocalyptic number.

353342400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353342400 is an abundant number, since it is smaller than the sum of its proper divisors (805930872).

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

353342400 is a wasteful number, since it uses less digits than its factorization.

353342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73638 (or 73623 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 353342400 is about 18797.4040760952. The cubic root of 353342400 is about 706.9660928010.

Adding to 353342400 its reverse (4243353), we get a palindrome (357585753).

The spelling of 353342400 in words is "three hundred fifty-three million, three hundred forty-two thousand, four hundred".