487471478400 has 1440 divisors, whose sum is σ = 1975603687200. Its totient is φ = 118021017600.

The previous prime is 487471478393. The next prime is 487471478407. The reversal of 487471478400 is 4874174784.

487471478400 is a `hidden beast` number, since 487 + 47 + 1 + 47 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (487471478393) and next prime (487471478407).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (487471478407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4732732749 + ... + 4732732851.

It is an arithmetic number, because the mean of its divisors is an integer number (1371947005).

Almost surely, 2^487471478400 is an apocalyptic number.

487471478400 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 487471478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987801843600).

487471478400 is an abundant number, since it is smaller than the sum of its proper divisors (1488132208800).

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

487471478400 is a wasteful number, since it uses less digits than its factorization.

487471478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 487471478400 in words is "four hundred eighty-seven billion, four hundred seventy-one million, four hundred seventy-eight thousand, four hundred".