484249920 has 224 divisors, whose sum is σ = 1917167616. Its totient is φ = 100608000.

The previous prime is 484249907. The next prime is 484249921. The reversal of 484249920 is 29942484.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484249921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70645 + ... + 77195.

It is an arithmetic number, because the mean of its divisors is an integer number (8558784).

Almost surely, 2^484249920 is an apocalyptic number.

484249920 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 484249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958583808).

484249920 is an abundant number, since it is smaller than the sum of its proper divisors (1432917696).

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

484249920 is a wasteful number, since it uses less digits than its factorization.

484249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 484249920 is about 22005.6792669529. The cubic root of 484249920 is about 785.2775574689.

The spelling of 484249920 in words is "four hundred eighty-four million, two hundred forty-nine thousand, nine hundred twenty".