351315040 has 48 divisors (see below), whose sum is σ = 839341440. Its totient is φ = 138941440.

The previous prime is 351315017. The next prime is 351315053. The reversal of 351315040 is 40513153.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1905 + ... + 26575.

It is an arithmetic number, because the mean of its divisors is an integer number (17486280).

Almost surely, 2^351315040 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 351315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419670720).

351315040 is an abundant number, since it is smaller than the sum of its proper divisors (488026400).

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

351315040 is a wasteful number, since it uses less digits than its factorization.

351315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24775 (or 24767 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 351315040 is about 18743.3999050332. The cubic root of 351315040 is about 705.6113872183.

Adding to 351315040 its reverse (40513153), we get a palindrome (391828193).

The spelling of 351315040 in words is "three hundred fifty-one million, three hundred fifteen thousand, forty".