352435440 has 240 divisors, whose sum is σ = 1327200768. Its totient is φ = 76995072.

The previous prime is 352435429. The next prime is 352435487. The reversal of 352435440 is 44534253.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 352435398 and 352435407.

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 47 ways as a sum of consecutive naturals, for example, 269829 + ... + 271131.

Almost surely, 2^352435440 is an apocalyptic number.

352435440 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 352435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663600384).

352435440 is an abundant number, since it is smaller than the sum of its proper divisors (974765328).

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

352435440 is a wasteful number, since it uses less digits than its factorization.

352435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 352435440 is about 18773.2639676749. The cubic root of 352435440 is about 706.3606938511.

Adding to 352435440 its reverse (44534253), we get a palindrome (396969693).

The spelling of 352435440 in words is "three hundred fifty-two million, four hundred thirty-five thousand, four hundred forty".