4532666400 has 108 divisors (see below), whose sum is σ = 15983340282. Its totient is φ = 1208709120.

The previous prime is 4532666393. The next prime is 4532666407. The reversal of 4532666400 is 46662354.

It is an interprime number because it is at equal distance from previous prime (4532666393) and next prime (4532666407).

It can be written as a sum of positive squares in 3 ways, for example, as 3601440144 + 931226256 = 60012^2 + 30516^2 .

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 (4532666407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 307569 + ... + 321968.

Almost surely, 2^4532666400 is an apocalyptic number.

4532666400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4532666400 is an abundant number, since it is smaller than the sum of its proper divisors (11450673882).

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

4532666400 is a wasteful number, since it uses less digits than its factorization.

4532666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629563 (or 629547 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4532666400 is about 67325.0800222324. The cubic root of 4532666400 is about 1654.9488883854.

The spelling of 4532666400 in words is "four billion, five hundred thirty-two million, six hundred sixty-six thousand, four hundred".