4629139200 has 864 divisors, whose sum is σ = 20073715200. Its totient is φ = 1021870080.

The previous prime is 4629139133. The next prime is 4629139223. The reversal of 4629139200 is 29319264.

4629139200 is a `hidden beast` number, since 4 + 629 + 1 + 3 + 9 + 20 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52012756 + ... + 52012844.

Almost surely, 2^4629139200 is an apocalyptic number.

4629139200 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 4629139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036857600).

4629139200 is an abundant number, since it is smaller than the sum of its proper divisors (15444576000).

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

4629139200 is a wasteful number, since it uses less digits than its factorization.

4629139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4629139200 is about 68037.7777414871. Note that the first 4 decimals coincide. The cubic root of 4629139200 is about 1666.6078130329.

It can be divided in two parts, 46291 and 39200, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 4629139200 in words is "four billion, six hundred twenty-nine million, one hundred thirty-nine thousand, two hundred".