601815424 has 256 divisors, whose sum is σ = 1586304000. Its totient is φ = 221405184.

The previous prime is 601815413. The next prime is 601815427. The reversal of 601815424 is 424518106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601815427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11354982 + ... + 11355034.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2^601815424 is an apocalyptic number.

601815424 is a gapful number since it is divisible by the number (64) 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 601815424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793152000).

601815424 is an abundant number, since it is smaller than the sum of its proper divisors (984488576).

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

601815424 is a wasteful number, since it uses less digits than its factorization.

601815424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 601815424 is about 24531.9266263374. The cubic root of 601815424 is about 844.2824687380.

The spelling of 601815424 in words is "six hundred one million, eight hundred fifteen thousand, four hundred twenty-four".