353030400 has 324 divisors, whose sum is σ = 1314676272. Its totient is φ = 93726720.

The previous prime is 353030383. The next prime is 353030411. The reversal of 353030400 is 4030353.

353030400 = 120³ + 121³ + ... + 200³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (324).

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

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, 1555087 + ... + 1555313.

Almost surely, 2^353030400 is an apocalyptic number.

353030400 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 353030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657338136).

353030400 is an abundant number, since it is smaller than the sum of its proper divisors (961645872).

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

353030400 is an equidigital number, since it uses as much as digits as its factorization.

353030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 353030400 is about 18789.1032250078. The cubic root of 353030400 is about 706.7579487321.

Adding to 353030400 its reverse (4030353), we get a palindrome (357060753).

It can be divided in two parts, 3530 and 30400, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 353030400 in words is "three hundred fifty-three million, thirty thousand, four hundred".