354115920 has 160 divisors (see below), whose sum is σ = 1171353600. Its totient is φ = 88238592.

The previous prime is 354115903. The next prime is 354115921. The reversal of 354115920 is 29511453.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354115921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359749 + ... + 360731.

It is an arithmetic number, because the mean of its divisors is an integer number (7320960).

Almost surely, 2^354115920 is an apocalyptic number.

354115920 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 354115920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585676800).

354115920 is an abundant number, since it is smaller than the sum of its proper divisors (817237680).

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

354115920 is a wasteful number, since it uses less digits than its factorization.

354115920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 354115920 is about 18817.9680093256. The cubic root of 354115920 is about 707.4816020721.

The spelling of 354115920 in words is "three hundred fifty-four million, one hundred fifteen thousand, nine hundred twenty".