352074240 has 480 divisors, whose sum is σ = 1455442560. Its totient is φ = 76972032.

The previous prime is 352074221. The next prime is 352074269. The reversal of 352074240 is 42470253.

352074240 is a `hidden beast` number, since 35 + 207 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5967331 + ... + 5967389.

It is an arithmetic number, because the mean of its divisors is an integer number (3032172).

Almost surely, 2^352074240 is an apocalyptic number.

352074240 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 352074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727721280).

352074240 is an abundant number, since it is smaller than the sum of its proper divisors (1103368320).

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

352074240 is a wasteful number, since it uses less digits than its factorization.

352074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 352074240 is about 18763.6414376314. The cubic root of 352074240 is about 706.1193024131.

The spelling of 352074240 in words is "three hundred fifty-two million, seventy-four thousand, two hundred forty".