4225478400 has 1296 divisors, whose sum is σ = 19374176640. Its totient is φ = 895795200.

The previous prime is 4225478393. The next prime is 4225478407. The reversal of 4225478400 is 48745224.

It is an interprime number because it is at equal distance from previous prime (4225478393) and next prime (4225478407).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×4225478400³ (a number of 30 digits) contains 333 as substring.

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 (4225478407) 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 143 ways as a sum of consecutive naturals, for example, 222393591 + ... + 222393609.

Almost surely, 2^4225478400 is an apocalyptic number.

4225478400 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 4225478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9687088320).

4225478400 is an abundant number, since it is smaller than the sum of its proper divisors (15148698240).

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

4225478400 is a wasteful number, since it uses less digits than its factorization.

4225478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4225478400 is about 65003.6798958336. The cubic root of 4225478400 is about 1616.6845774518.

The spelling of 4225478400 in words is "four billion, two hundred twenty-five million, four hundred seventy-eight thousand, four hundred".