4282449600 has 672 divisors, whose sum is σ = 17524878336. Its totient is φ = 899481600.

The previous prime is 4282449581. The next prime is 4282449601. The reversal of 4282449600 is 69442824.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282449601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11668617 + ... + 11668983.

It is an arithmetic number, because the mean of its divisors is an integer number (26078688).

Almost surely, 2^4282449600 is an apocalyptic number.

4282449600 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 4282449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8762439168).

4282449600 is an abundant number, since it is smaller than the sum of its proper divisors (13242428736).

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

4282449600 is a wasteful number, since it uses less digits than its factorization.

4282449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 4282449600 is about 65440.4278714618. The cubic root of 4282449600 is about 1623.9179668497.

The spelling of 4282449600 in words is "four billion, two hundred eighty-two million, four hundred forty-nine thousand, six hundred".