351540416 has 56 divisors (see below), whose sum is σ = 746461296. Its totient is φ = 163676160.

The previous prime is 351540353. The next prime is 351540421. The reversal of 351540416 is 614045153.

It is a happy 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, 103871 + ... + 107201.

It is an arithmetic number, because the mean of its divisors is an integer number (13329666).

Almost surely, 2^351540416 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 351540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373230648).

351540416 is an abundant number, since it is smaller than the sum of its proper divisors (394920880).

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

351540416 is a wasteful number, since it uses less digits than its factorization.

351540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 351540416 is about 18749.4110840847. The cubic root of 351540416 is about 705.7622431542.

Adding to 351540416 its reverse (614045153), we get a palindrome (965585569).

It can be divided in two parts, 35 and 1540416, that added together give a palindrome (1540451).

The spelling of 351540416 in words is "three hundred fifty-one million, five hundred forty thousand, four hundred sixteen".