4254400600 has 96 divisors (see below), whose sum is σ = 10265280480. Its totient is φ = 1638420480.

The previous prime is 4254400541. The next prime is 4254400609. The reversal of 4254400600 is 60044524.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4254400609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714837 + ... + 720763.

It is an arithmetic number, because the mean of its divisors is an integer number (106930005).

Almost surely, 2^4254400600 is an apocalyptic number.

4254400600 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 4254400600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132640240).

4254400600 is an abundant number, since it is smaller than the sum of its proper divisors (6010879880).

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

4254400600 is a wasteful number, since it uses less digits than its factorization.

4254400600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6077 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4254400600 is about 65225.7663810859. The cubic root of 4254400600 is about 1620.3647758564.

The spelling of 4254400600 in words is "four billion, two hundred fifty-four million, four hundred thousand, six hundred".