487776240 has 240 divisors, whose sum is σ = 1982605248. Its totient is φ = 104914944.

The previous prime is 487776239. The next prime is 487776241. The reversal of 487776240 is 42677784.

487776240 is a `hidden beast` number, since 487 + 77 + 62 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (487776239) and next prime (487776241).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487776241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82834 + ... + 88526.

Almost surely, 2^487776240 is an apocalyptic number.

487776240 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 487776240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991302624).

487776240 is an abundant number, since it is smaller than the sum of its proper divisors (1494829008).

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

487776240 is a wasteful number, since it uses less digits than its factorization.

487776240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 487776240 is about 22085.6568840503. The cubic root of 487776240 is about 787.1790861735.

The spelling of 487776240 in words is "four hundred eighty-seven million, seven hundred seventy-six thousand, two hundred forty".