351120440 has 64 divisors (see below), whose sum is σ = 870484320. Its totient is φ = 126400000.

The previous prime is 351120379. The next prime is 351120443. The reversal of 351120440 is 44021153.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351120443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40490 + ... + 48390.

Almost surely, 2^351120440 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 351120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435242160).

351120440 is an abundant number, since it is smaller than the sum of its proper divisors (519363880).

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

351120440 is a wasteful number, since it uses less digits than its factorization.

351120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 8020 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 351120440 is about 18738.2080253155. The cubic root of 351120440 is about 705.4810793546.

Adding to 351120440 its reverse (44021153), we get a palindrome (395141593).

The spelling of 351120440 in words is "three hundred fifty-one million, one hundred twenty thousand, four hundred forty".