4054260600 has 768 divisors, whose sum is σ = 16398950400. Its totient is φ = 923788800.

The previous prime is 4054260571. The next prime is 4054260601. The reversal of 4054260600 is 60624504.

It is a happy number.

4054260600 is a `hidden beast` number, since 4 + 0 + 54 + 2 + 6 + 0 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054260601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130782585 + ... + 130782615.

It is an arithmetic number, because the mean of its divisors is an integer number (21352800).

Almost surely, 2^4054260600 is an apocalyptic number.

4054260600 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 4054260600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199475200).

4054260600 is an abundant number, since it is smaller than the sum of its proper divisors (12344689800).

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

4054260600 is a wasteful number, since it uses less digits than its factorization.

4054260600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4054260600 is about 63673.0759426620. The cubic root of 4054260600 is about 1594.5466162877.

The spelling of 4054260600 in words is "four billion, fifty-four million, two hundred sixty thousand, six hundred".