354398720 has 160 divisors (see below), whose sum is σ = 956938752. Its totient is φ = 124895232.

The previous prime is 354398719. The next prime is 354398729. The reversal of 354398720 is 27893453.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (354398729) 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, 765209 + ... + 765671.

Almost surely, 2^354398720 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 354398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478469376).

354398720 is an abundant number, since it is smaller than the sum of its proper divisors (602540032).

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

354398720 is a wasteful number, since it uses less digits than its factorization.

354398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 354398720 is about 18825.4806047548. The cubic root of 354398720 is about 707.6698855772.

The spelling of 354398720 in words is "three hundred fifty-four million, three hundred ninety-eight thousand, seven hundred twenty".