4025476224 has 384 divisors, whose sum is σ = 15083841600. Its totient is φ = 1045094400.

The previous prime is 4025476219. The next prime is 4025476229. The reversal of 4025476224 is 4226745204.

4025476224 is a `hidden beast` number, since 4 + 0 + 25 + 4 + 7 + 622 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4025476219) and next prime (4025476229).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×4025476224³ (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 not an unprimeable number, because it can be changed into a prime (4025476229) 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 47 ways as a sum of consecutive naturals, for example, 1861704 + ... + 1863864.

Almost surely, 2^4025476224 is an apocalyptic number.

4025476224 is a gapful number since it is divisible by the number (44) 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 4025476224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541920800).

4025476224 is an abundant number, since it is smaller than the sum of its proper divisors (11058365376).

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

4025476224 is a wasteful number, since it uses less digits than its factorization.

4025476224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4025476224 is about 63446.6407621396. The cubic root of 4025476224 is about 1590.7640044950.

It can be divided in two parts, 4025 and 476224, that added together give a square (480249 = 693²).

The spelling of 4025476224 in words is "four billion, twenty-five million, four hundred seventy-six thousand, two hundred twenty-four".