354468960 has 192 divisors, whose sum is σ = 1257197760. Its totient is φ = 94431744.

The previous prime is 354468941. The next prime is 354468967. The reversal of 354468960 is 69864453.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354468967) 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, 349414 + ... + 350426.

It is an arithmetic number, because the mean of its divisors is an integer number (6547905).

Almost surely, 2^354468960 is an apocalyptic number.

354468960 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 354468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628598880).

354468960 is an abundant number, since it is smaller than the sum of its proper divisors (902728800).

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

354468960 is an equidigital number, since it uses as much as digits as its factorization.

354468960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 354468960 is about 18827.3460689498. The cubic root of 354468960 is about 707.7166346637.

The spelling of 354468960 in words is "three hundred fifty-four million, four hundred sixty-eight thousand, nine hundred sixty".