351461440 has 168 divisors, whose sum is σ = 954679320. Its totient is φ = 123002880.

The previous prime is 351461423. The next prime is 351461447. The reversal of 351461440 is 44164153.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 351337536 = 352^2 + 18744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 351461399 and 351461408.

It is not an unprimeable number, because it can be changed into a prime (351461447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1122724 + ... + 1123036.

It is an arithmetic number, because the mean of its divisors is an integer number (5682615).

Almost surely, 2^351461440 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 351461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477339660).

351461440 is an abundant number, since it is smaller than the sum of its proper divisors (603217880).

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

351461440 is a wasteful number, since it uses less digits than its factorization.

351461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 351461440 is about 18747.3048729677. The cubic root of 351461440 is about 705.7093877300.

The spelling of 351461440 in words is "three hundred fifty-one million, four hundred sixty-one thousand, four hundred forty".