352315400 has 48 divisors (see below), whose sum is σ = 828378900. Its totient is φ = 139335680.

The previous prime is 352315393. The next prime is 352315409. The reversal of 352315400 is 4513253.

It can be written as a sum of positive squares in 6 ways, for example, as 125933284 + 226382116 = 11222^2 + 15046^2 .

It is a super-2 number, since 2×352315400² = 248252282154320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352315409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7904 + ... + 27696.

Almost surely, 2^352315400 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 352315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414189450).

352315400 is an abundant number, since it is smaller than the sum of its proper divisors (476063500).

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

352315400 is a wasteful number, since it uses less digits than its factorization.

352315400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19898 (or 19889 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 352315400 is about 18770.0665955132. The cubic root of 352315400 is about 706.2804889336.

Adding to 352315400 its reverse (4513253), we get a palindrome (356828653).

The spelling of 352315400 in words is "three hundred fifty-two million, three hundred fifteen thousand, four hundred".