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484480400000 = 27553189439
BaseRepresentation
bin1110000110011010100…
…10000011101010000000
31201022112021100100100112
413003031102003222000
530414203440300000
61010322304210452
750000606311202
oct7031522035200
91638467310315
10484480400000
111775156122a3
1279a8b609a28
13368bca765cc
141963ddc4772
15c9083d3235
hex70cd483a80

484480400000 has 384 divisors, whose sum is σ = 1262169216000. Its totient is φ = 185011200000.

The previous prime is 484480399993. The next prime is 484480400009. The reversal of 484480400000 is 4084484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 484480400000.

It is not an unprimeable number, because it can be changed into a prime (484480400009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103599781 + ... + 1103600219.

It is an arithmetic number, because the mean of its divisors is an integer number (3286899000).

Almost surely, 2484480400000 is an apocalyptic number.

484480400000 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 484480400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631084608000).

484480400000 is an abundant number, since it is smaller than the sum of its proper divisors (777688816000).

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

484480400000 is an frugal number, since it uses more digits than its factorization.

484480400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 484480400000 its reverse (4084484), we get a palindrome (484484484484).

The spelling of 484480400000 in words is "four hundred eighty-four billion, four hundred eighty million, four hundred thousand".