352404020 has 48 divisors (see below), whose sum is σ = 798033600. Its totient is φ = 130279680.

The previous prime is 352404011. The next prime is 352404029. The reversal of 352404020 is 20404253.

It is an interprime number because it is at equal distance from previous prime (352404011) and next prime (352404029).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 352403983 and 352404001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352404029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4271 + ... + 26889.

It is an arithmetic number, because the mean of its divisors is an integer number (16625700).

Almost surely, 2^352404020 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 352404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399016800).

352404020 is an abundant number, since it is smaller than the sum of its proper divisors (445629580).

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

352404020 is a wasteful number, since it uses less digits than its factorization.

352404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22688 (or 22686 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 352404020 is about 18772.4271206469. The cubic root of 352404020 is about 706.3397022878.

Adding to 352404020 its reverse (20404253), we get a palindrome (372808273).

The spelling of 352404020 in words is "three hundred fifty-two million, four hundred four thousand, twenty".