487167408 has 360 divisors, whose sum is σ = 1759762368. Its totient is φ = 124637184.

The previous prime is 487167403. The next prime is 487167409. The reversal of 487167408 is 804761784.

487167408 is a `hidden beast` number, since 4 + 87 + 167 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (487167403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4311160 + ... + 4311272.

Almost surely, 2^487167408 is an apocalyptic number.

487167408 is a gapful number since it is divisible by the number (48) 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 487167408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879881184).

487167408 is an abundant number, since it is smaller than the sum of its proper divisors (1272594960).

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

487167408 is a wasteful number, since it uses less digits than its factorization.

487167408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 487167408 is about 22071.8691551033. The cubic root of 487167408 is about 786.8514363776.

The spelling of 487167408 in words is "four hundred eighty-seven million, one hundred sixty-seven thousand, four hundred eight".