354494880 has 240 divisors, whose sum is σ = 1325487240. Its totient is φ = 88915968.

The previous prime is 354494867. The next prime is 354494893. The reversal of 354494880 is 88494453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354494867) and next prime (354494893).

It can be written as a sum of positive squares in 4 ways, for example, as 354493584 + 1296 = 18828^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219516 + ... + 221124.

Almost surely, 2^354494880 is an apocalyptic number.

354494880 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 354494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662743620).

354494880 is an abundant number, since it is smaller than the sum of its proper divisors (970992360).

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

354494880 is a wasteful number, since it uses less digits than its factorization.

354494880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 354494880 is about 18828.0344167945. The cubic root of 354494880 is about 707.7338844751.

The spelling of 354494880 in words is "three hundred fifty-four million, four hundred ninety-four thousand, eight hundred eighty".