601513440 has 192 divisors, whose sum is σ = 2123573760. Its totient is φ = 141834240.

The previous prime is 601513439. The next prime is 601513463. The reversal of 601513440 is 44315106.

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 601513440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193821 + ... + 196899.

It is an arithmetic number, because the mean of its divisors is an integer number (11060280).

Almost surely, 2^601513440 is an apocalyptic number.

601513440 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 601513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061786880).

601513440 is an abundant number, since it is smaller than the sum of its proper divisors (1522060320).

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

601513440 is a wasteful number, since it uses less digits than its factorization.

601513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 601513440 is about 24525.7709358952. The cubic root of 601513440 is about 844.1412280607.

Adding to 601513440 its reverse (44315106), we get a palindrome (645828546).

The spelling of 601513440 in words is "six hundred one million, five hundred thirteen thousand, four hundred forty".