354646404 has 96 divisors (see below), whose sum is σ = 1068748800. Its totient is φ = 99597600.

The previous prime is 354646403. The next prime is 354646421. The reversal of 354646404 is 404646453.

354646404 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 4 + 640 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (354646403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40629 + ... + 48579.

It is an arithmetic number, because the mean of its divisors is an integer number (11132800).

Almost surely, 2^354646404 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 354646404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534374400).

354646404 is an abundant number, since it is smaller than the sum of its proper divisors (714102396).

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

354646404 is a wasteful number, since it uses less digits than its factorization.

354646404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 354646404 is about 18832.0578801150. The cubic root of 354646404 is about 707.8347071757.

The spelling of 354646404 in words is "three hundred fifty-four million, six hundred forty-six thousand, four hundred four".