352390080 has 224 divisors, whose sum is σ = 1310883840. Its totient is φ = 78520320.

The previous prime is 352390079. The next prime is 352390091. The reversal of 352390080 is 80093253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274881 + ... + 276159.

It is an arithmetic number, because the mean of its divisors is an integer number (5852160).

Almost surely, 2^352390080 is an apocalyptic number.

352390080 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 352390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655441920).

352390080 is an abundant number, since it is smaller than the sum of its proper divisors (958493760).

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

352390080 is a wasteful number, since it uses less digits than its factorization.

352390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 352390080 is about 18772.0558277457. The cubic root of 352390080 is about 706.3303886358.

The spelling of 352390080 in words is "three hundred fifty-two million, three hundred ninety thousand, eighty".