354256896 has 96 divisors (see below), whose sum is σ = 1079507520. Its totient is φ = 101203968.

The previous prime is 354256883. The next prime is 354256909. The reversal of 354256896 is 698652453.

It is an interprime number because it is at equal distance from previous prime (354256883) and next prime (354256909).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×354256896³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38890 + ... + 47126.

It is an arithmetic number, because the mean of its divisors is an integer number (11244870).

Almost surely, 2^354256896 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 354256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539753760).

354256896 is an abundant number, since it is smaller than the sum of its proper divisors (725250624).

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

354256896 is an equidigital number, since it uses as much as digits as its factorization.

354256896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269 (or 8249 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 354256896 is about 18821.7134182837. The cubic root of 354256896 is about 707.5754740578.

The spelling of 354256896 in words is "three hundred fifty-four million, two hundred fifty-six thousand, eight hundred ninety-six".