354945024 has 288 divisors, whose sum is σ = 1232431200. Its totient is φ = 100638720.

The previous prime is 354944999. The next prime is 354945037. The reversal of 354945024 is 420549453.

It is a happy number.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 354945024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709439 + ... + 2709569.

It is an arithmetic number, because the mean of its divisors is an integer number (4279275).

Almost surely, 2^354945024 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 354945024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616215600).

354945024 is an abundant number, since it is smaller than the sum of its proper divisors (877486176).

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

354945024 is a wasteful number, since it uses less digits than its factorization.

354945024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 354945024 is about 18839.9847133696. The cubic root of 354945024 is about 708.0333221892.

The spelling of 354945024 in words is "three hundred fifty-four million, nine hundred forty-five thousand, twenty-four".