354256560 has 120 divisors (see below), whose sum is σ = 1359689760. Its totient is φ = 80971776.

The previous prime is 354256549. The next prime is 354256583. The reversal of 354256560 is 65652453.

It is a happy number.

354256560 is a `hidden beast` number, since 3 + 5 + 42 + 56 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×354256560³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30105 + ... + 40184.

It is an arithmetic number, because the mean of its divisors is an integer number (11330748).

Almost surely, 2^354256560 is an apocalyptic number.

354256560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354256560 is an abundant number, since it is smaller than the sum of its proper divisors (1005433200).

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

354256560 is a wasteful number, since it uses less digits than its factorization.

354256560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70315 (or 70306 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 354256560 is about 18821.7044924204. The cubic root of 354256560 is about 707.5752503544.

The spelling of 354256560 in words is "three hundred fifty-four million, two hundred fifty-six thousand, five hundred sixty".