487760486400 has 1260 divisors, whose sum is σ = 1994260846116. Its totient is φ = 118244966400.

The previous prime is 487760486399. The next prime is 487760486419. The reversal of 487760486400 is 4684067784.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

487760486400 is a `hidden beast` number, since 487 + 7 + 60 + 48 + 64 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 44341862395 + ... + 44341862405.

Almost surely, 2^487760486400 is an apocalyptic number.

487760486400 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 487760486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997130423058).

487760486400 is an abundant number, since it is smaller than the sum of its proper divisors (1506500359716).

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

487760486400 is an frugal number, since it uses more digits than its factorization.

487760486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

Multiplying 487760486400 by its sum of digits (54), we get a square (26339066265600 = 5132160²).

487760486400 divided by its sum of digits (54) gives a square (9032601600 = 95040²).

The spelling of 487760486400 in words is "four hundred eighty-seven billion, seven hundred sixty million, four hundred eighty-six thousand, four hundred".