350041560 has 256 divisors, whose sum is σ = 1278374400. Its totient is φ = 75571200.

The previous prime is 350041547. The next prime is 350041589. The reversal of 350041560 is 65140053.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 350041560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425950 + ... + 426770.

It is an arithmetic number, because the mean of its divisors is an integer number (4993650).

Almost surely, 2^350041560 is an apocalyptic number.

350041560 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 350041560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639187200).

350041560 is an abundant number, since it is smaller than the sum of its proper divisors (928332840).

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

350041560 is a wasteful number, since it uses less digits than its factorization.

350041560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 350041560 is about 18709.3976386200. The cubic root of 350041560 is about 704.7577659820.

The spelling of 350041560 in words is "three hundred fifty million, forty-one thousand, five hundred sixty".