4507632900 has 54 divisors (see below), whose sum is σ = 14128927722. Its totient is φ = 1202035200.

The previous prime is 4507632859. The next prime is 4507632907. The reversal of 4507632900 is 92367054.

4507632900 is a `hidden beast` number, since 4 + 507 + 63 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 768065796 + 3739567104 = 27714^2 + 61152^2 .

It is a super-2 number, since 2×4507632900² = 40637508722324820000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (4507632907) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2503341 + ... + 2505140.

Almost surely, 2^4507632900 is an apocalyptic number.

It is an amenable number.

4507632900 is an abundant number, since it is smaller than the sum of its proper divisors (9621294822).

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

4507632900 is a wasteful number, since it uses less digits than its factorization.

4507632900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008501 (or 5008491 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4507632900 is about 67138.9074978138. The cubic root of 4507632900 is about 1651.8965520020.

Adding to 4507632900 its reverse (92367054), we get a palindrome (4599999954).

The spelling of 4507632900 in words is "four billion, five hundred seven million, six hundred thirty-two thousand, nine hundred".