354606560 has 192 divisors, whose sum is σ = 1058158080. Its totient is φ = 109086720.

The previous prime is 354606547. The next prime is 354606563. The reversal of 354606560 is 65606453.

It is a Cunningham number, because it is equal to 18831²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 354606560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354606563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1318106 + ... + 1318374.

It is an arithmetic number, because the mean of its divisors is an integer number (5511240).

Almost surely, 2^354606560 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 354606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529079040).

354606560 is an abundant number, since it is smaller than the sum of its proper divisors (703551520).

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

354606560 is a wasteful number, since it uses less digits than its factorization.

354606560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 354606560 is about 18830.9999734480. Note that the first 4 decimals coincide. The cubic root of 354606560 is about 707.8081981214.

The spelling of 354606560 in words is "three hundred fifty-four million, six hundred six thousand, five hundred sixty".