484804362240 has 1152 divisors, whose sum is σ = 1950268123440. Its totient is φ = 114661785600.

The previous prime is 484804362221. The next prime is 484804362299. The reversal of 484804362240 is 42263408484.

484804362240 is a `hidden beast` number, since 4 + 8 + 48 + 0 + 4 + 362 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11824496620 + ... + 11824496660.

Almost surely, 2^484804362240 is an apocalyptic number.

484804362240 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 484804362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975134061720).

484804362240 is an abundant number, since it is smaller than the sum of its proper divisors (1465463761200).

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

484804362240 is an frugal number, since it uses more digits than its factorization.

484804362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 484804362240 in words is "four hundred eighty-four billion, eight hundred four million, three hundred sixty-two thousand, two hundred forty".