4536430272 has 560 divisors, whose sum is σ = 15932505600. Its totient is φ = 1261578240.

The previous prime is 4536430247. The next prime is 4536430273. The reversal of 4536430272 is 2720346354.

4536430272 is a `hidden beast` number, since 4 + 5 + 3 + 643 + 0 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×4536430272² = 41158399225435987968, which contains 22 as substring.

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 (4536430273) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57423129 + ... + 57423207.

Almost surely, 2^4536430272 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 4536430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966252800).

4536430272 is an abundant number, since it is smaller than the sum of its proper divisors (11396075328).

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

4536430272 is a wasteful number, since it uses less digits than its factorization.

4536430272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4536430272 is about 67353.0271925472. The cubic root of 4536430272 is about 1655.4068449067.

The spelling of 4536430272 in words is "four billion, five hundred thirty-six million, four hundred thirty thousand, two hundred seventy-two".