487678320 has 400 divisors, whose sum is σ = 1895905440. Its totient is φ = 115458048.

The previous prime is 487678309. The next prime is 487678357. The reversal of 487678320 is 23876784.

It is a happy number.

It is a super-3 number, since 3×487678320³ (a number of 27 digits) contains 333 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 79 ways as a sum of consecutive naturals, for example, 2092924 + ... + 2093156.

Almost surely, 2^487678320 is an apocalyptic number.

487678320 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 487678320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947952720).

487678320 is an abundant number, since it is smaller than the sum of its proper divisors (1408227120).

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

487678320 is a wasteful number, since it uses less digits than its factorization.

487678320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 487678320 is about 22083.4399494282. The cubic root of 487678320 is about 787.1264078289.

The spelling of 487678320 in words is "four hundred eighty-seven million, six hundred seventy-eight thousand, three hundred twenty".