4572605952 has 240 divisors, whose sum is σ = 13967387280. Its totient is φ = 1476513792.

The previous prime is 4572605951. The next prime is 4572605953. The reversal of 4572605952 is 2595062754.

4572605952 is a `hidden beast` number, since 4 + 57 + 2 + 6 + 0 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4572605951) and next prime (4572605953).

It is a junction number, because it is equal to n+sod(n) for n = 4572605898 and 4572605907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4572605951) 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, 57881049 + ... + 57881127.

It is an arithmetic number, because the mean of its divisors is an integer number (58197447).

Almost surely, 2^4572605952 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 4572605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983693640).

4572605952 is an abundant number, since it is smaller than the sum of its proper divisors (9394781328).

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

4572605952 is an frugal number, since it uses more digits than its factorization.

4572605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 4572605952 is about 67621.0466644816. The cubic root of 4572605952 is about 1659.7955368242.

The spelling of 4572605952 in words is "four billion, five hundred seventy-two million, six hundred five thousand, nine hundred fifty-two".