601159440 has 480 divisors, whose sum is σ = 2393846784. Its totient is φ = 123863040.

The previous prime is 601159369. The next prime is 601159451. The reversal of 601159440 is 44951106.

It is a happy number.

601159440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601159440² = 722785344602227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 601159398 and 601159407.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6197472 + ... + 6197568.

Almost surely, 2^601159440 is an apocalyptic number.

601159440 is a gapful number since it is divisible by the number (60) 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 601159440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196923392).

601159440 is an abundant number, since it is smaller than the sum of its proper divisors (1792687344).

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

601159440 is a wasteful number, since it uses less digits than its factorization.

601159440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 601159440 is about 24518.5529752471. The cubic root of 601159440 is about 843.9755988243.

The spelling of 601159440 in words is "six hundred one million, one hundred fifty-nine thousand, four hundred forty".