352486512 has 160 divisors (see below), whose sum is σ = 1184924160. Its totient is φ = 98219520.

The previous prime is 352486493. The next prime is 352486543. The reversal of 352486512 is 215684253.

352486512 is a `hidden beast` number, since 3 + 524 + 86 + 51 + 2 = 666.

It is a super-3 number, since 3×352486512³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 122563 + ... + 125405.

It is an arithmetic number, because the mean of its divisors is an integer number (7405776).

Almost surely, 2^352486512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352486512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592462080).

352486512 is an abundant number, since it is smaller than the sum of its proper divisors (832437648).

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

352486512 is a wasteful number, since it uses less digits than its factorization.

352486512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2896 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 352486512 is about 18774.6241506987. The cubic root of 352486512 is about 706.3948121669.

The spelling of 352486512 in words is "three hundred fifty-two million, four hundred eighty-six thousand, five hundred twelve".