601460496 has 360 divisors, whose sum is σ = 2161111680. Its totient is φ = 154732032.

The previous prime is 601460491. The next prime is 601460501. The reversal of 601460496 is 694064106.

601460496 is a `hidden beast` number, since 601 + 4 + 6 + 0 + 49 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (601460491) and next prime (601460501).

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

It is a self number, because there is not a number n which added to its sum of digits gives 601460496.

It is not an unprimeable number, because it can be changed into a prime (601460491) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7246471 + ... + 7246553.

It is an arithmetic number, because the mean of its divisors is an integer number (6003088).

Almost surely, 2^601460496 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 601460496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080555840).

601460496 is an abundant number, since it is smaller than the sum of its proper divisors (1559651184).

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

601460496 is a wasteful number, since it uses less digits than its factorization.

601460496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 601460496 is about 24524.6915576934. The cubic root of 601460496 is about 844.1164607978.

The spelling of 601460496 in words is "six hundred one million, four hundred sixty thousand, four hundred ninety-six".