4629438000 has 480 divisors, whose sum is σ = 17888712192. Its totient is φ = 1106496000.

The previous prime is 4629437993. The next prime is 4629438001. The reversal of 4629438000 is 8349264.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4629438001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20393887 + ... + 20394113.

Almost surely, 2^4629438000 is an apocalyptic number.

4629438000 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 4629438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944356096).

4629438000 is an abundant number, since it is smaller than the sum of its proper divisors (13259274192).

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

4629438000 is a wasteful number, since it uses less digits than its factorization.

4629438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4629438000 is about 68039.9735449684. The cubic root of 4629438000 is about 1666.6436707938.

The spelling of 4629438000 in words is "four billion, six hundred twenty-nine million, four hundred thirty-eight thousand".