4247684400 has 120 divisors (see below), whose sum is σ = 13630270464. Its totient is φ = 1130758400.

The previous prime is 4247684393. The next prime is 4247684407. The reversal of 4247684400 is 44867424.

4247684400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4247684393) and next prime (4247684407).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4247684407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773665 + ... + 779135.

Almost surely, 2^4247684400 is an apocalyptic number.

4247684400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4247684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815135232).

4247684400 is an abundant number, since it is smaller than the sum of its proper divisors (9382586064).

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

4247684400 is a wasteful number, since it uses less digits than its factorization.

4247684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6139 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 4247684400 is about 65174.2617909862. The cubic root of 4247684400 is about 1619.5116650342.

The spelling of 4247684400 in words is "four billion, two hundred forty-seven million, six hundred eighty-four thousand, four hundred".