601456240 has 160 divisors (see below), whose sum is σ = 1754887680. Its totient is φ = 186240000.

The previous prime is 601456211. The next prime is 601456301. The reversal of 601456240 is 42654106.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 601456199 and 601456208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1545966 + ... + 1546354.

It is an arithmetic number, because the mean of its divisors is an integer number (10968048).

Almost surely, 2^601456240 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 601456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

601456240 is an abundant number, since it is smaller than the sum of its proper divisors (1153431440).

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

601456240 is a wasteful number, since it uses less digits than its factorization.

601456240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 601456240 is about 24524.6047878452. The cubic root of 601456240 is about 844.1144697731.

The spelling of 601456240 in words is "six hundred one million, four hundred fifty-six thousand, two hundred forty".