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487690560 = 263257171423
BaseRepresentation
bin11101000100011…
…001000101000000
31020222200020200100
4131010121011000
51444322044220
6120220522400
715041205240
oct3504310500
91228606610
10487690560
1123031a155
121173b0400
137a0652c6
1448aadb20
152cc35d90
hex1d119140

487690560 has 336 divisors, whose sum is σ = 2031284736. Its totient is φ = 104841216.

The previous prime is 487690507. The next prime is 487690573. The reversal of 487690560 is 65096784.

487690560 is a `hidden beast` number, since 4 + 87 + 6 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4876905602 = 475684164626227200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 342009 + ... + 343431.

Almost surely, 2487690560 is an apocalyptic number.

487690560 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 487690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015642368).

487690560 is an abundant number, since it is smaller than the sum of its proper divisors (1543594176).

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

487690560 is a wasteful number, since it uses less digits than its factorization.

487690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 487690560 is about 22083.7170784268. The cubic root of 487690560 is about 787.1329930076.

The spelling of 487690560 in words is "four hundred eighty-seven million, six hundred ninety thousand, five hundred sixty".