352401480 has 96 divisors (see below), whose sum is σ = 1151350200. Its totient is φ = 93477888.

The previous prime is 352401457. The next prime is 352401481. The reversal of 352401480 is 84104253.

It can be written as a sum of positive squares in 4 ways, for example, as 321198084 + 31203396 = 17922^2 + 5586^2 .

It is not an unprimeable number, because it can be changed into a prime (352401481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68436 + ... + 73404.

Almost surely, 2^352401480 is an apocalyptic number.

352401480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352401480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575675100).

352401480 is an abundant number, since it is smaller than the sum of its proper divisors (798948720).

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

352401480 is a wasteful number, since it uses less digits than its factorization.

352401480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 352401480 is about 18772.3594681116. The cubic root of 352401480 is about 706.3380052705.

The spelling of 352401480 in words is "three hundred fifty-two million, four hundred one thousand, four hundred eighty".