354255120 has 120 divisors (see below), whose sum is σ = 1233837696. Its totient is φ = 94462848.

The previous prime is 354255103. The next prime is 354255137. The reversal of 354255120 is 21552453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354255103) and next prime (354255137).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×354255120³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 10329 + ... + 28551.

Almost surely, 2^354255120 is an apocalyptic number.

354255120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616918848).

354255120 is an abundant number, since it is smaller than the sum of its proper divisors (879582576).

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

354255120 is a wasteful number, since it uses less digits than its factorization.

354255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18251 (or 18233 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 354255120 is about 18821.6662386729. Note that the first 3 decimals coincide. The cubic root of 354255120 is about 707.5742916239.

The spelling of 354255120 in words is "three hundred fifty-four million, two hundred fifty-five thousand, one hundred twenty".