352974000 has 160 divisors (see below), whose sum is σ = 1152515520. Its totient is φ = 92928000.

The previous prime is 352973987. The next prime is 352974007. The reversal of 352974000 is 479253.

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

It is not an unprimeable number, because it can be changed into a prime (352974007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533670 + ... + 534330.

It is an arithmetic number, because the mean of its divisors is an integer number (7203222).

Almost surely, 2^352974000 is an apocalyptic number.

352974000 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 352974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576257760).

352974000 is an abundant number, since it is smaller than the sum of its proper divisors (799541520).

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

352974000 is a wasteful number, since it uses less digits than its factorization.

352974000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 352974000 is about 18787.6022951307. The cubic root of 352974000 is about 706.7203096022.

The spelling of 352974000 in words is "three hundred fifty-two million, nine hundred seventy-four thousand".