601429248 has 216 divisors, whose sum is σ = 2008843200. Its totient is φ = 169500672.

The previous prime is 601429193. The next prime is 601429307. The reversal of 601429248 is 842924106.

601429248 is a `hidden beast` number, since 601 + 4 + 2 + 9 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435183 + ... + 1435601.

It is an arithmetic number, because the mean of its divisors is an integer number (9300200).

Almost surely, 2^601429248 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 601429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004421600).

601429248 is an abundant number, since it is smaller than the sum of its proper divisors (1407413952).

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

601429248 is a wasteful number, since it uses less digits than its factorization.

601429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 601429248 is about 24524.0544771863. The cubic root of 601429248 is about 844.1018422661.

The spelling of 601429248 in words is "six hundred one million, four hundred twenty-nine thousand, two hundred forty-eight".