352274400 has 288 divisors, whose sum is σ = 1304916480. Its totient is φ = 91676160.

The previous prime is 352274387. The next prime is 352274407. The reversal of 352274400 is 4472253.

352274400 is a `hidden beast` number, since 35 + 227 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352274407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015027 + ... + 1015373.

It is an arithmetic number, because the mean of its divisors is an integer number (4530960).

Almost surely, 2^352274400 is an apocalyptic number.

352274400 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 352274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652458240).

352274400 is an abundant number, since it is smaller than the sum of its proper divisors (952642080).

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

352274400 is a wasteful number, since it uses less digits than its factorization.

352274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 404 counting only the distinct ones).

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

The square root of 352274400 is about 18768.9743992579. The cubic root of 352274400 is about 706.2530905443.

The spelling of 352274400 in words is "three hundred fifty-two million, two hundred seventy-four thousand, four hundred".