354298560 has 224 divisors, whose sum is σ = 1402762752. Its totient is φ = 73605120.

The previous prime is 354298541. The next prime is 354298561. The reversal of 354298560 is 65892453.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (354298561) 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, 71524 + ... + 76316.

Almost surely, 2^354298560 is an apocalyptic number.

354298560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701381376).

354298560 is an abundant number, since it is smaller than the sum of its proper divisors (1048464192).

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

354298560 is a wasteful number, since it uses less digits than its factorization.

354298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 354298560 is about 18822.8201925216. The cubic root of 354298560 is about 707.6032121854.

The spelling of 354298560 in words is "three hundred fifty-four million, two hundred ninety-eight thousand, five hundred sixty".