4629841920 has 288 divisors, whose sum is σ = 17508778560. Its totient is φ = 1122140160.

The previous prime is 4629841907. The next prime is 4629842003. The reversal of 4629841920 is 291489264.

4629841920 is a `hidden beast` number, since 4 + 629 + 8 + 4 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×4629841920³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1011477 + ... + 1016043.

It is an arithmetic number, because the mean of its divisors is an integer number (60794370).

Almost surely, 2^4629841920 is an apocalyptic number.

4629841920 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 4629841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8754389280).

4629841920 is an abundant number, since it is smaller than the sum of its proper divisors (12878936640).

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

4629841920 is a wasteful number, since it uses less digits than its factorization.

4629841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4629841920 is about 68042.9417353483. The cubic root of 4629841920 is about 1666.6921411217.

The spelling of 4629841920 in words is "four billion, six hundred twenty-nine million, eight hundred forty-one thousand, nine hundred twenty".