353654496 has 144 divisors (see below), whose sum is σ = 1102111920. Its totient is φ = 106905600.

The previous prime is 353654471. The next prime is 353654513. The reversal of 353654496 is 694456353.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220096 + ... + 221696.

It is an arithmetic number, because the mean of its divisors is an integer number (7653555).

Almost surely, 2^353654496 is an apocalyptic number.

353654496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353654496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551055960).

353654496 is an abundant number, since it is smaller than the sum of its proper divisors (748457424).

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

353654496 is a wasteful number, since it uses less digits than its factorization.

353654496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1678 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 353654496 is about 18805.7038155981. The cubic root of 353654496 is about 707.1741783669.

The spelling of 353654496 in words is "three hundred fifty-three million, six hundred fifty-four thousand, four hundred ninety-six".