4685234400 has 864 divisors, whose sum is σ = 21429128448. Its totient is φ = 970444800.

The previous prime is 4685234353. The next prime is 4685234429. The reversal of 4685234400 is 44325864.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14968644 + ... + 14968956.

It is an arithmetic number, because the mean of its divisors is an integer number (24802232).

Almost surely, 2^4685234400 is an apocalyptic number.

4685234400 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 4685234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714564224).

4685234400 is an abundant number, since it is smaller than the sum of its proper divisors (16743894048).

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

4685234400 is a wasteful number, since it uses less digits than its factorization.

4685234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4685234400 is about 68448.7720854071. The cubic root of 4685234400 is about 1673.3127020131.

The spelling of 4685234400 in words is "four billion, six hundred eighty-five million, two hundred thirty-four thousand, four hundred".