354466728 has 192 divisors, whose sum is σ = 1267643520. Its totient is φ = 86630400.

The previous prime is 354466727. The next prime is 354466729. The reversal of 354466728 is 827664453.

It is an interprime number because it is at equal distance from previous prime (354466727) and next prime (354466729).

It is a super-2 number, since 2×354466728² = 251293322518051968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (354466727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 92368 + ... + 96128.

It is an arithmetic number, because the mean of its divisors is an integer number (6602310).

Almost surely, 2^354466728 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 354466728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633821760).

354466728 is an abundant number, since it is smaller than the sum of its proper divisors (913176792).

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

354466728 is a wasteful number, since it uses less digits than its factorization.

354466728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3801 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 354466728 is about 18827.2867933752. The cubic root of 354466728 is about 707.7151492240.

The spelling of 354466728 in words is "three hundred fifty-four million, four hundred sixty-six thousand, seven hundred twenty-eight".