352524480 has 448 divisors, whose sum is σ = 1474744320. Its totient is φ = 69120000.

The previous prime is 352524479. The next prime is 352524517. The reversal of 352524480 is 84425253.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1404355 + ... + 1404605.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2^352524480 is an apocalyptic number.

352524480 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 352524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

352524480 is an abundant number, since it is smaller than the sum of its proper divisors (1122219840).

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

352524480 is a wasteful number, since it uses less digits than its factorization.

352524480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 352524480 is about 18775.6352755373. The cubic root of 352524480 is about 706.4201743055.

The spelling of 352524480 in words is "three hundred fifty-two million, five hundred twenty-four thousand, four hundred eighty".