352207440 has 400 divisors, whose sum is σ = 1364943888. Its totient is φ = 83607552.

The previous prime is 352207433. The next prime is 352207451. The reversal of 352207440 is 44702253.

It can be written as a sum of positive squares in 8 ways, for example, as 44836416 + 307371024 = 6696^2 + 17532^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3116824 + ... + 3116936.

Almost surely, 2^352207440 is an apocalyptic number.

352207440 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 352207440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682471944).

352207440 is an abundant number, since it is smaller than the sum of its proper divisors (1012736448).

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

352207440 is a wasteful number, since it uses less digits than its factorization.

352207440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 352207440 is about 18767.1905196276. The cubic root of 352207440 is about 706.2083397255.

Adding to 352207440 its reverse (44702253), we get a palindrome (396909693).

The spelling of 352207440 in words is "three hundred fifty-two million, two hundred seven thousand, four hundred forty".