354852144 has 80 divisors (see below), whose sum is σ = 1021065600. Its totient is φ = 117993024.

The previous prime is 354852131. The next prime is 354852161. The reversal of 354852144 is 441258453.

It is a happy number.

354852144 is a `hidden beast` number, since 35 + 485 + 2 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 354852099 and 354852108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242487 + ... + 243945.

It is an arithmetic number, because the mean of its divisors is an integer number (12763320).

Almost surely, 2^354852144 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 354852144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510532800).

354852144 is an abundant number, since it is smaller than the sum of its proper divisors (666213456).

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

354852144 is a wasteful number, since it uses less digits than its factorization.

354852144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2027 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 354852144 is about 18837.5195819407. The cubic root of 354852144 is about 707.9715587541.

The spelling of 354852144 in words is "three hundred fifty-four million, eight hundred fifty-two thousand, one hundred forty-four".