4854038400 has 480 divisors, whose sum is σ = 18265419480. Its totient is φ = 1269043200.

The previous prime is 4854038393. The next prime is 4854038429. The reversal of 4854038400 is 48304584.

4854038400 is a `hidden beast` number, since 48 + 540 + 38 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15811047 + ... + 15811353.

Almost surely, 2^4854038400 is an apocalyptic number.

4854038400 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 4854038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9132709740).

4854038400 is an abundant number, since it is smaller than the sum of its proper divisors (13411381080).

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

4854038400 is a wasteful number, since it uses less digits than its factorization.

4854038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4854038400 is about 69670.9293751705. The cubic root of 4854038400 is about 1693.1719660780.

The spelling of 4854038400 in words is "four billion, eight hundred fifty-four million, thirty-eight thousand, four hundred".