4054252400 has 120 divisors (see below), whose sum is σ = 10671067008. Its totient is φ = 1468000000.

The previous prime is 4054252387. The next prime is 4054252421. The reversal of 4054252400 is 42524504.

It is a self number, because there is not a number n which added to its sum of digits gives 4054252400.

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, 1102565 + ... + 1106235.

Almost surely, 2^4054252400 is an apocalyptic number.

4054252400 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 4054252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335533504).

4054252400 is an abundant number, since it is smaller than the sum of its proper divisors (6616814608).

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

4054252400 is a wasteful number, since it uses less digits than its factorization.

4054252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 4054252400 is about 63673.0115512059. The cubic root of 4054252400 is about 1594.5455412630.

Adding to 4054252400 its reverse (42524504), we get a palindrome (4096776904).

The spelling of 4054252400 in words is "four billion, fifty-four million, two hundred fifty-two thousand, four hundred".