4285382400 has 648 divisors, whose sum is σ = 16952404560. Its totient is φ = 1026293760.

The previous prime is 4285382399. The next prime is 4285382401. The reversal of 4285382400 is 42835824.

It is an interprime number because it is at equal distance from previous prime (4285382399) and next prime (4285382401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285382401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44179152 + ... + 44179248.

Almost surely, 2^4285382400 is an apocalyptic number.

4285382400 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 4285382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476202280).

4285382400 is an abundant number, since it is smaller than the sum of its proper divisors (12667022160).

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

4285382400 is a wasteful number, since it uses less digits than its factorization.

4285382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4285382400 is about 65462.8322027087. The cubic root of 4285382400 is about 1624.2885911618.

The spelling of 4285382400 in words is "four billion, two hundred eighty-five million, three hundred eighty-two thousand, four hundred".