4276022400 has 768 divisors, whose sum is σ = 17423884800. Its totient is φ = 1030164480.

The previous prime is 4276022341. The next prime is 4276022407. The reversal of 4276022400 is 42206724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4276022407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90979177 + ... + 90979223.

It is an arithmetic number, because the mean of its divisors is an integer number (22687350).

Almost surely, 2^4276022400 is an apocalyptic number.

4276022400 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 4276022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8711942400).

4276022400 is an abundant number, since it is smaller than the sum of its proper divisors (13147862400).

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

4276022400 is an equidigital number, since it uses as much as digits as its factorization.

4276022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4276022400 is about 65391.3021739130. The cubic root of 4276022400 is about 1623.1051554624.

The spelling of 4276022400 in words is "four billion, two hundred seventy-six million, twenty-two thousand, four hundred".