354345440 has 96 divisors (see below), whose sum is σ = 886788000. Its totient is φ = 133429248.

The previous prime is 354345419. The next prime is 354345449. The reversal of 354345440 is 44543453.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 354345397 and 354345406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354345449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695906 + ... + 696414.

It is an arithmetic number, because the mean of its divisors is an integer number (9237375).

Almost surely, 2^354345440 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 354345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443394000).

354345440 is an abundant number, since it is smaller than the sum of its proper divisors (532442560).

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

354345440 is a wasteful number, since it uses less digits than its factorization.

354345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 354345440 is about 18824.0654482500. The cubic root of 354345440 is about 707.6344203051.

Adding to 354345440 its reverse (44543453), we get a palindrome (398888893).

The spelling of 354345440 in words is "three hundred fifty-four million, three hundred forty-five thousand, four hundred forty".