484479959040 has 1536 divisors, whose sum is σ = 2225933498880. Its totient is φ = 94371840000.

The previous prime is 484479959021. The next prime is 484479959101. The reversal of 484479959040 is 40959974484.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×484479959040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1930198915 + ... + 1930199165.

It is an arithmetic number, because the mean of its divisors is an integer number (1449175455).

Almost surely, 2^484479959040 is an apocalyptic number.

484479959040 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 484479959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112966749440).

484479959040 is an abundant number, since it is smaller than the sum of its proper divisors (1741453539840).

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

484479959040 is a wasteful number, since it uses less digits than its factorization.

484479959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 484479959040 in words is "four hundred eighty-four billion, four hundred seventy-nine million, nine hundred fifty-nine thousand, forty".