484211520 has 336 divisors, whose sum is σ = 1863912960. Its totient is φ = 118941696.

The previous prime is 484211491. The next prime is 484211573. The reversal of 484211520 is 25112484.

It is a super-2 number, since 2×484211520² = 468921592201420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010641 + ... + 1011119.

It is an arithmetic number, because the mean of its divisors is an integer number (5547360).

Almost surely, 2^484211520 is an apocalyptic number.

484211520 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 484211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931956480).

484211520 is an abundant number, since it is smaller than the sum of its proper divisors (1379701440).

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

484211520 is a wasteful number, since it uses less digits than its factorization.

484211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 484211520 is about 22004.8067476177. The cubic root of 484211520 is about 785.2567999674.

The spelling of 484211520 in words is "four hundred eighty-four million, two hundred eleven thousand, five hundred twenty".