4875413400 has 864 divisors, whose sum is σ = 20390123520. Its totient is φ = 1033344000.

The previous prime is 4875413399. The next prime is 4875413423. The reversal of 4875413400 is 43145784.

4875413400 is a `hidden beast` number, since 4 + 87 + 541 + 34 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 103732177 + ... + 103732223.

It is an arithmetic number, because the mean of its divisors is an integer number (23599680).

Almost surely, 2^4875413400 is an apocalyptic number.

4875413400 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 4875413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195061760).

4875413400 is an abundant number, since it is smaller than the sum of its proper divisors (15514710120).

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

4875413400 is a wasteful number, since it uses less digits than its factorization.

4875413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4875413400 is about 69824.1605749758. The cubic root of 4875413400 is about 1695.6536492741.

The spelling of 4875413400 in words is "four billion, eight hundred seventy-five million, four hundred thirteen thousand, four hundred".