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487372320 = 253251743463
BaseRepresentation
bin11101000011001…
…011011000100000
31020222002002010200
4131003023120200
51444231403240
6120210025200
715035411361
oct3503133040
91228062120
10487372320
11230122046
12117278200
1379c834b6
1448a29b68
152cbc1930
hex1d0cb620

487372320 has 288 divisors, whose sum is σ = 1805836032. Its totient is φ = 119218176.

The previous prime is 487372261. The next prime is 487372321. The reversal of 487372320 is 23273784.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (487372321) 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, 1052409 + ... + 1052871.

It is an arithmetic number, because the mean of its divisors is an integer number (6270264).

Almost surely, 2487372320 is an apocalyptic number.

487372320 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 487372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902918016).

487372320 is an abundant number, since it is smaller than the sum of its proper divisors (1318463712).

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

487372320 is a wasteful number, since it uses less digits than its factorization.

487372320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 487372320 is about 22076.5105938416. The cubic root of 487372320 is about 786.9617425393.

The spelling of 487372320 in words is "four hundred eighty-seven million, three hundred seventy-two thousand, three hundred twenty".