354253540 has 48 divisors (see below), whose sum is σ = 766386432. Its totient is φ = 137448576.

The previous prime is 354253519. The next prime is 354253541. The reversal of 354253540 is 45352453.

It is a happy number.

It is a super-3 number, since 3×354253540³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (354253541) 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, 359889 + ... + 360871.

It is an arithmetic number, because the mean of its divisors is an integer number (15966384).

Almost surely, 2^354253540 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 354253540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383193216).

354253540 is an abundant number, since it is smaller than the sum of its proper divisors (412132892).

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

354253540 is a wasteful number, since it uses less digits than its factorization.

354253540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The square root of 354253540 is about 18821.6242657216. The cubic root of 354253540 is about 707.5732396805.

The spelling of 354253540 in words is "three hundred fifty-four million, two hundred fifty-three thousand, five hundred forty".