487256000 has 336 divisors, whose sum is σ = 1544860512. Its totient is φ = 150528000.

The previous prime is 487255973. The next prime is 487256027. The reversal of 487256000 is 652784.

It is an interprime number because it is at equal distance from previous prime (487255973) and next prime (487256027).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 4311944 + ... + 4312056.

Almost surely, 2^487256000 is an apocalyptic number.

487256000 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 487256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772430256).

487256000 is an abundant number, since it is smaller than the sum of its proper divisors (1057604512).

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

487256000 is a wasteful number, since it uses less digits than its factorization.

487256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 487256000 is about 22073.8759623225. The cubic root of 487256000 is about 786.8991301246.

The spelling of 487256000 in words is "four hundred eighty-seven million, two hundred fifty-six thousand".