354253440 has 128 divisors (see below), whose sum is σ = 1134745920. Its totient is φ = 94003200.

The previous prime is 354253421. The next prime is 354253447. The reversal of 354253440 is 44352453.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×354253440³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 354253398 and 354253407.

It is not an unprimeable number, because it can be changed into a prime (354253447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589140 + ... + 589740.

Almost surely, 2^354253440 is an apocalyptic number.

354253440 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 354253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567372960).

354253440 is an abundant number, since it is smaller than the sum of its proper divisors (780492480).

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

354253440 is a wasteful number, since it uses less digits than its factorization.

354253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 354253440 is about 18821.6216092025. The cubic root of 354253440 is about 707.5731731017.

The spelling of 354253440 in words is "three hundred fifty-four million, two hundred fifty-three thousand, four hundred forty".