352966464 has 224 divisors, whose sum is σ = 1106058240. Its totient is φ = 110145024.

The previous prime is 352966463. The next prime is 352966469. The reversal of 352966464 is 464669253.

352966464 is a `hidden beast` number, since 3 + 529 + 6 + 64 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352966463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3298699 + ... + 3298805.

It is an arithmetic number, because the mean of its divisors is an integer number (4937760).

Almost surely, 2^352966464 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 352966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553029120).

352966464 is an abundant number, since it is smaller than the sum of its proper divisors (753091776).

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

352966464 is a wasteful number, since it uses less digits than its factorization.

352966464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 352966464 is about 18787.4017362700. The cubic root of 352966464 is about 706.7152800701.

The spelling of 352966464 in words is "three hundred fifty-two million, nine hundred sixty-six thousand, four hundred sixty-four".