353478864 has 120 divisors (see below), whose sum is σ = 965354880. Its totient is φ = 111421440.

The previous prime is 353478863. The next prime is 353478899. The reversal of 353478864 is 468874353.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353478863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3644064 + ... + 3644160.

It is an arithmetic number, because the mean of its divisors is an integer number (8044624).

Almost surely, 2^353478864 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 353478864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482677440).

353478864 is an abundant number, since it is smaller than the sum of its proper divisors (611876016).

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

353478864 is a wasteful number, since it uses less digits than its factorization.

353478864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 212 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 353478864 is about 18801.0335886089. The cubic root of 353478864 is about 707.0570932996.

The spelling of 353478864 in words is "three hundred fifty-three million, four hundred seventy-eight thousand, eight hundred sixty-four".