354405440 has 56 divisors (see below), whose sum is σ = 849706200. Its totient is φ = 140791808.

The previous prime is 354405431. The next prime is 354405449. The reversal of 354405440 is 44504453.

It is an interprime number because it is at equal distance from previous prime (354405431) and next prime (354405449).

It can be written as a sum of positive squares in 4 ways, for example, as 9634816 + 344770624 = 3104^2 + 18568^2 .

It is not an unprimeable number, because it can be changed into a prime (354405449) 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 7 ways as a sum of consecutive naturals, for example, 43964 + ... + 51396.

It is an arithmetic number, because the mean of its divisors is an integer number (15173325).

Almost surely, 2^354405440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424853100).

354405440 is an abundant number, since it is smaller than the sum of its proper divisors (495300760).

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

354405440 is a wasteful number, since it uses less digits than its factorization.

354405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 354405440 is about 18825.6590854079. The cubic root of 354405440 is about 707.6743584222.

Adding to 354405440 its reverse (44504453), we get a palindrome (398909893).

The spelling of 354405440 in words is "three hundred fifty-four million, four hundred five thousand, four hundred forty".