4629104000 has 64 divisors (see below), whose sum is σ = 11509149600. Its totient is φ = 1851635200.

The previous prime is 4629103979. The next prime is 4629104009. The reversal of 4629104000 is 4019264.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4629104009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128660 + ... + 160659.

Almost surely, 2^4629104000 is an apocalyptic number.

4629104000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4629104000 is an abundant number, since it is smaller than the sum of its proper divisors (6880045600).

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

4629104000 is an equidigital number, since it uses as much as digits as its factorization.

4629104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289348 (or 289326 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4629104000 is about 68037.5190611768. The cubic root of 4629104000 is about 1666.6035887238.

The spelling of 4629104000 in words is "four billion, six hundred twenty-nine million, one hundred four thousand".