4248432400 has 45 divisors (see below), whose sum is σ = 10209991701. Its totient is φ = 1698851520.

The previous prime is 4248432371. The next prime is 4248432437. The reversal of 4248432400 is 42348424.

The square root of 4248432400 is 65180.

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

It can be written as a sum of positive squares in only one way, i.e., 1529435664 + 2718996736 = 39108^2 + 52144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1301971 + ... + 1305229.

Almost surely, 2^4248432400 is an apocalyptic number.

4248432400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4248432400 is the 65180-th square number.

It is an amenable number.

4248432400 is an abundant number, since it is smaller than the sum of its proper divisors (5961559301).

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

4248432400 is an frugal number, since it uses more digits than its factorization.

4248432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

The cubic root of 4248432400 is about 1619.6067226006.

The spelling of 4248432400 in words is "four billion, two hundred forty-eight million, four hundred thirty-two thousand, four hundred".