4006054600 has 24 divisors (see below), whose sum is σ = 9314077410. Its totient is φ = 1602421760.

The previous prime is 4006054589. The next prime is 4006054603. The reversal of 4006054600 is 64506004.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2641343236 + 1364711364 = 51394^2 + 36942^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4006054603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10014937 + ... + 10015336.

Almost surely, 2^4006054600 is an apocalyptic number.

4006054600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006054600 is an abundant number, since it is smaller than the sum of its proper divisors (5308022810).

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

4006054600 is a wasteful number, since it uses less digits than its factorization.

4006054600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20030289 (or 20030280 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4006054600 is about 63293.4009198431. The cubic root of 4006054600 is about 1588.2015714026.

The spelling of 4006054600 in words is "four billion, six million, fifty-four thousand, six hundred".