353466960 has 320 divisors, whose sum is σ = 1412481024. Its totient is φ = 70963200.

The previous prime is 353466959. The next prime is 353466961. The reversal of 353466960 is 69664353.

It is an interprime number because it is at equal distance from previous prime (353466959) and next prime (353466961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353466961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572572 + ... + 573188.

Almost surely, 2^353466960 is an apocalyptic number.

353466960 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 353466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706240512).

353466960 is an abundant number, since it is smaller than the sum of its proper divisors (1059014064).

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

353466960 is a wasteful number, since it uses less digits than its factorization.

353466960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The square root of 353466960 is about 18800.7170076037. The cubic root of 353466960 is about 707.0491560950.

The spelling of 353466960 in words is "three hundred fifty-three million, four hundred sixty-six thousand, nine hundred sixty".