4025302400 has 192 divisors, whose sum is σ = 11528904960. Its totient is φ = 1360128000.

The previous prime is 4025302373. The next prime is 4025302423. The reversal of 4025302400 is 42035204.

It is a super-2 number, since 2×4025302400² = 32406118822891520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1589135 + ... + 1591665.

It is an arithmetic number, because the mean of its divisors is an integer number (60046380).

Almost surely, 2^4025302400 is an apocalyptic number.

4025302400 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 4025302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764452480).

4025302400 is an abundant number, since it is smaller than the sum of its proper divisors (7503602560).

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

4025302400 is a wasteful number, since it uses less digits than its factorization.

4025302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4025302400 is about 63445.2709033542. The cubic root of 4025302400 is about 1590.7411072503.

Adding to 4025302400 its reverse (42035204), we get a palindrome (4067337604).

The spelling of 4025302400 in words is "four billion, twenty-five million, three hundred two thousand, four hundred".