352460304144 has 240 divisors, whose sum is σ = 1092911142960. Its totient is φ = 105344778240.

The previous prime is 352460304121. The next prime is 352460304181. The reversal of 352460304144 is 441403064253.

352460304144 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 603 + 0 + 4 + 1 + 44 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 122578412544 + 229881891600 = 350112^2 + 479460^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 352460304099 and 352460304108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17873362 + ... + 17893070.

It is an arithmetic number, because the mean of its divisors is an integer number (4553796429).

Almost surely, 2^352460304144 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 352460304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546455571480).

352460304144 is an abundant number, since it is smaller than the sum of its proper divisors (740450838816).

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

352460304144 is a wasteful number, since it uses less digits than its factorization.

352460304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20010 (or 20001 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 352460304144 its reverse (441403064253), we get a palindrome (793863368397).

The spelling of 352460304144 in words is "three hundred fifty-two billion, four hundred sixty million, three hundred four thousand, one hundred forty-four".