4855955400 has 576 divisors, whose sum is σ = 18368467200. Its totient is φ = 1178012160.

The previous prime is 4855955389. The next prime is 4855955437. The reversal of 4855955400 is 45595584.

4855955400 is a `hidden beast` number, since 4 + 8 + 5 + 595 + 54 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91621774 + ... + 91621826.

It is an arithmetic number, because the mean of its divisors is an integer number (31889700).

Almost surely, 2^4855955400 is an apocalyptic number.

4855955400 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 4855955400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9184233600).

4855955400 is an abundant number, since it is smaller than the sum of its proper divisors (13512511800).

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

4855955400 is a wasteful number, since it uses less digits than its factorization.

4855955400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 4855955400 is about 69684.6855485479. The cubic root of 4855955400 is about 1693.3948309173.

The spelling of 4855955400 in words is "four billion, eight hundred fifty-five million, nine hundred fifty-five thousand, four hundred".