487996992 has 168 divisors, whose sum is σ = 1612855296. Its totient is φ = 138184704.

The previous prime is 487996963. The next prime is 487997021. The reversal of 487996992 is 299699784.

487996992 is a `hidden beast` number, since 487 + 9 + 9 + 69 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (487996963) and next prime (487997021).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 511588 + ... + 512540.

Almost surely, 2^487996992 is an apocalyptic number.

487996992 is a gapful number since it is divisible by the number (42) 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 487996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806427648).

487996992 is an abundant number, since it is smaller than the sum of its proper divisors (1124858304).

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

487996992 is a wasteful number, since it uses less digits than its factorization.

487996992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The square root of 487996992 is about 22090.6539513886. The cubic root of 487996992 is about 787.2978189964.

The spelling of 487996992 in words is "four hundred eighty-seven million, nine hundred ninety-six thousand, nine hundred ninety-two".