354420585 has 48 divisors (see below), whose sum is σ = 652766400. Its totient is φ = 177386112.

The previous prime is 354420557. The next prime is 354420589. The reversal of 354420585 is 585024453.

354420585 is a `hidden beast` number, since 3 + 54 + 4 + 20 + 585 = 666.

It is not a de Polignac number, because 354420585 - 2⁷ = 354420457 is a prime.

It is a super-2 number, since 2×354420585² = 251227902143484450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (354420589) 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 47 ways as a sum of consecutive naturals, for example, 91294 + ... + 95096.

It is an arithmetic number, because the mean of its divisors is an integer number (13599300).

Almost surely, 2^354420585 is an apocalyptic number.

It is an amenable number.

354420585 is a deficient number, since it is larger than the sum of its proper divisors (298345815).

354420585 is a wasteful number, since it uses less digits than its factorization.

354420585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 354420585 is about 18826.0613246637. The cubic root of 354420585 is about 707.6844387561.

The spelling of 354420585 in words is "three hundred fifty-four million, four hundred twenty thousand, five hundred eighty-five".