352405004 has 48 divisors (see below), whose sum is σ = 725469696. Its totient is φ = 146640000.

The previous prime is 352404971. The next prime is 352405037. The reversal of 352405004 is 400504253.

It is an interprime number because it is at equal distance from previous prime (352404971) and next prime (352405037).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287537 + ... + 288759.

It is an arithmetic number, because the mean of its divisors is an integer number (15113952).

Almost surely, 2^352405004 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 352405004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362734848).

352405004 is an abundant number, since it is smaller than the sum of its proper divisors (373064692).

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

352405004 is a wasteful number, since it uses less digits than its factorization.

352405004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 352405004 is about 18772.4533292801. The cubic root of 352405004 is about 706.3403597128.

Adding to 352405004 its reverse (400504253), we get a palindrome (752909257).

The spelling of 352405004 in words is "three hundred fifty-two million, four hundred five thousand, four".