601298400 has 144 divisors (see below), whose sum is σ = 1968624000. Its totient is φ = 159413760.

The previous prime is 601298393. The next prime is 601298419. The reversal of 601298400 is 4892106.

601298400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476971 + ... + 478229.

It is an arithmetic number, because the mean of its divisors is an integer number (13671000).

Almost surely, 2^601298400 is an apocalyptic number.

601298400 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 601298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312000).

601298400 is an abundant number, since it is smaller than the sum of its proper divisors (1367325600).

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

601298400 is a wasteful number, since it uses less digits than its factorization.

601298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 601298400 is about 24521.3865839597. The cubic root of 601298400 is about 844.0406230681.

The spelling of 601298400 in words is "six hundred one million, two hundred ninety-eight thousand, four hundred".