351296840 has 48 divisors (see below), whose sum is σ = 839675700. Its totient is φ = 132248576.

The previous prime is 351296837. The next prime is 351296843. The reversal of 351296840 is 48692153.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (351296837) and next prime (351296843).

It can be written as a sum of positive squares in 6 ways, for example, as 282307204 + 68989636 = 16802^2 + 8306^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 351296794 and 351296803.

It is not an unprimeable number, because it can be changed into a prime (351296843) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3635 + ... + 26754.

Almost surely, 2^351296840 is an apocalyptic number.

It is an amenable number.

351296840 is an abundant number, since it is smaller than the sum of its proper divisors (488378860).

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

351296840 is a wasteful number, since it uses less digits than its factorization.

351296840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30434 (or 30413 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 351296840 is about 18742.9143945119. The cubic root of 351296840 is about 705.5992021919.

The spelling of 351296840 in words is "three hundred fifty-one million, two hundred ninety-six thousand, eight hundred forty".