353404864 has 56 divisors (see below), whose sum is σ = 743143040. Its totient is φ = 166281984.

The previous prime is 353404861. The next prime is 353404879. The reversal of 353404864 is 468404353.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353404861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197317 + ... + 199099.

Almost surely, 2^353404864 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 353404864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371571520).

353404864 is an abundant number, since it is smaller than the sum of its proper divisors (389738176).

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

353404864 is a wasteful number, since it uses less digits than its factorization.

353404864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 353404864 is about 18799.0655086895. The cubic root of 353404864 is about 707.0077495888.

It can be divided in two parts, 35340 and 4864, that added together give a palindrome (40204).

The spelling of 353404864 in words is "three hundred fifty-three million, four hundred four thousand, eight hundred sixty-four".