4282962400 has 72 divisors (see below), whose sum is σ = 10505749464. Its totient is φ = 1704998400.

The previous prime is 4282962391. The next prime is 4282962403. The reversal of 4282962400 is 42692824.

It is a self number, because there is not a number n which added to its sum of digits gives 4282962400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282962403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156114 + ... + 181486.

It is an arithmetic number, because the mean of its divisors is an integer number (145913187).

Almost surely, 2^4282962400 is an apocalyptic number.

4282962400 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 4282962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252874732).

4282962400 is an abundant number, since it is smaller than the sum of its proper divisors (6222787064).

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

4282962400 is a wasteful number, since it uses less digits than its factorization.

4282962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25604 (or 25591 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 4282962400 is about 65444.3458214688. The cubic root of 4282962400 is about 1623.9827827047.

The spelling of 4282962400 in words is "four billion, two hundred eighty-two million, nine hundred sixty-two thousand, four hundred".