354376464 has 80 divisors (see below), whose sum is σ = 992686464. Its totient is φ = 108288000.

The previous prime is 354376453. The next prime is 354376471. The reversal of 354376464 is 464673453.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92344 + ... + 96104.

Almost surely, 2^354376464 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 354376464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496343232).

354376464 is an abundant number, since it is smaller than the sum of its proper divisors (638310000).

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

354376464 is a wasteful number, since it uses less digits than its factorization.

354376464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3930 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The square root of 354376464 is about 18824.8894817473. The cubic root of 354376464 is about 707.6550715370.

The spelling of 354376464 in words is "three hundred fifty-four million, three hundred seventy-six thousand, four hundred sixty-four".