4244486400 has 1296 divisors, whose sum is σ = 20225788800. Its totient is φ = 851558400.

The previous prime is 4244486383. The next prime is 4244486417. The reversal of 4244486400 is 46844424.

4244486400 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 4 + 8 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4244486383) and next prime (4244486417).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146361586 + ... + 146361614.

Almost surely, 2^4244486400 is an apocalyptic number.

4244486400 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 4244486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112894400).

4244486400 is an abundant number, since it is smaller than the sum of its proper divisors (15981302400).

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

4244486400 is a wasteful number, since it uses less digits than its factorization.

4244486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 4244486400 is about 65149.7229464562. The cubic root of 4244486400 is about 1619.1051299173.

The spelling of 4244486400 in words is "four billion, two hundred forty-four million, four hundred eighty-six thousand, four hundred".