353456004 has 72 divisors (see below), whose sum is σ = 911337280. Its totient is φ = 106539840.

The previous prime is 353456003. The next prime is 353456009. The reversal of 353456004 is 400654353.

353456004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×353456004² = 249862293527296032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (353456003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331977 + ... + 333039.

Almost surely, 2^353456004 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 353456004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455668640).

353456004 is an abundant number, since it is smaller than the sum of its proper divisors (557881276).

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

353456004 is a wasteful number, since it uses less digits than its factorization.

353456004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 353456004 is about 18800.4256334797. The cubic root of 353456004 is about 707.0418508290.

The spelling of 353456004 in words is "three hundred fifty-three million, four hundred fifty-six thousand, four".