352529040 has 160 divisors (see below), whose sum is σ = 1163675520. Its totient is φ = 88031232.

The previous prime is 352529039. The next prime is 352529053. The reversal of 352529040 is 40925253.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 352528989 and 352529007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441922 + ... + 442718.

It is an arithmetic number, because the mean of its divisors is an integer number (7272972).

Almost surely, 2^352529040 is an apocalyptic number.

352529040 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 352529040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581837760).

352529040 is an abundant number, since it is smaller than the sum of its proper divisors (811146480).

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

352529040 is a wasteful number, since it uses less digits than its factorization.

352529040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 352529040 is about 18775.7567091183. The cubic root of 352529040 is about 706.4232202047.

The spelling of 352529040 in words is "three hundred fifty-two million, five hundred twenty-nine thousand, forty".