352488000 has 224 divisors, whose sum is σ = 1226759040. Its totient is φ = 88934400.

The previous prime is 352487999. The next prime is 352488049. The reversal of 352488000 is 884253.

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

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, 455614 + ... + 456386.

Almost surely, 2^352488000 is an apocalyptic number.

352488000 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 352488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613379520).

352488000 is an abundant number, since it is smaller than the sum of its proper divisors (874271040).

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

352488000 is a wasteful number, since it uses less digits than its factorization.

352488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 352488000 is about 18774.6637786140. The cubic root of 352488000 is about 706.3958061662.

It can be divided in two parts, 3 and 52488000, that multiplied together give a cube (157464000 = 540³).

The spelling of 352488000 in words is "three hundred fifty-two million, four hundred eighty-eight thousand".