354556224 has 224 divisors, whose sum is σ = 1187988480. Its totient is φ = 102643200.

The previous prime is 354556211. The next prime is 354556249. The reversal of 354556224 is 422655453.

354556224 is a `hidden beast` number, since 35 + 45 + 562 + 24 = 666.

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

It is a congruent number.

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, 436779 + ... + 437589.

It is an arithmetic number, because the mean of its divisors is an integer number (5303520).

Almost surely, 2^354556224 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 354556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593994240).

354556224 is an abundant number, since it is smaller than the sum of its proper divisors (833432256).

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

354556224 is a wasteful number, since it uses less digits than its factorization.

354556224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 850 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 354556224 is about 18829.6634064446. The cubic root of 354556224 is about 707.7747056790.

The spelling of 354556224 in words is "three hundred fifty-four million, five hundred fifty-six thousand, two hundred twenty-four".