601438464 has 216 divisors, whose sum is σ = 1992900000. Its totient is φ = 172523520.

The previous prime is 601438457. The next prime is 601438469. The reversal of 601438464 is 464834106.

601438464 is a `hidden beast` number, since 601 + 4 + 3 + 8 + 46 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (601438469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480912 + ... + 482160.

Almost surely, 2^601438464 is an apocalyptic number.

601438464 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 601438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996450000).

601438464 is an abundant number, since it is smaller than the sum of its proper divisors (1391461536).

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

601438464 is a wasteful number, since it uses less digits than its factorization.

601438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 601438464 is about 24524.2423736188. The cubic root of 601438464 is about 844.1061537751.

The spelling of 601438464 in words is "six hundred one million, four hundred thirty-eight thousand, four hundred sixty-four".