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380020480 = 285727383
BaseRepresentation
bin10110101001101…
…010011100000000
3222111002001002121
4112221222130000
51234241123410
6101413054024
712263056300
oct2651523400
9874061077
10380020480
1118556a014
12a7327314
13609675b8
1438683600
15235689da
hex16a6a700

380020480 has 216 divisors, whose sum is σ = 1086320592. Its totient is φ = 126959616.

The previous prime is 380020453. The next prime is 380020481. The reversal of 380020480 is 84020083.

380020480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380020481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4578519 + ... + 4578601.

It is an arithmetic number, because the mean of its divisors is an integer number (5029262).

Almost surely, 2380020480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543160296).

380020480 is an abundant number, since it is smaller than the sum of its proper divisors (706300112).

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

380020480 is an equidigital number, since it uses as much as digits as its factorization.

380020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 380020480 is about 19494.1139834566. The cubic root of 380020480 is about 724.3286563774.

The spelling of 380020480 in words is "three hundred eighty million, twenty thousand, four hundred eighty".