352450560 has 384 divisors, whose sum is σ = 1415232000. Its totient is φ = 72744960.

The previous prime is 352450559. The next prime is 352450607. The reversal of 352450560 is 65054253.

It is a tau number, because it is divible by the number of its divisors (384).

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, 2365366 + ... + 2365514.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^352450560 is an apocalyptic number.

352450560 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 352450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

352450560 is an abundant number, since it is smaller than the sum of its proper divisors (1062781440).

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

352450560 is a wasteful number, since it uses less digits than its factorization.

352450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 352450560 is about 18773.6666637074. Note that the first 5 decimals coincide. The cubic root of 352450560 is about 706.3707950118.

The spelling of 352450560 in words is "three hundred fifty-two million, four hundred fifty thousand, five hundred sixty".