4629120 has 64 divisors (see below), whose sum is σ = 14761440. Its totient is φ = 1233920.

The previous prime is 4629101. The next prime is 4629127. The reversal of 4629120 is 219264.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4629127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 715 + ... + 3125.

Almost surely, 2^4629120 is an apocalyptic number.

4629120 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 4629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380720).

4629120 is an abundant number, since it is smaller than the sum of its proper divisors (10132320).

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

4629120 is a wasteful number, since it uses less digits than its factorization.

4629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4629120 is about 2151.5389840763. The cubic root of 4629120 is about 166.6605508867.

The spelling of 4629120 in words is "four million, six hundred twenty-nine thousand, one hundred twenty".