4534675600 has 405 divisors, whose sum is σ = 14104036737. Its totient is φ = 1396362240.

The previous prime is 4534675583. The next prime is 4534675609. The reversal of 4534675600 is 65764354.

The square root of 4534675600 is 67340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2616936336 + 1917739264 = 51156^2 + 43792^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4534675609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 122558782 + ... + 122558818.

Almost surely, 2^4534675600 is an apocalyptic number.

4534675600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4534675600 is the 67340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4534675600

4534675600 is an abundant number, since it is smaller than the sum of its proper divisors (9569361137).

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

4534675600 is a wasteful number, since it uses less digits than its factorization.

4534675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The cubic root of 4534675600 is about 1655.1933825987.

The spelling of 4534675600 in words is "four billion, five hundred thirty-four million, six hundred seventy-five thousand, six hundred".