487917416448 has 1040 divisors, whose sum is σ = 1849650992640. Its totient is φ = 124482355200.

The previous prime is 487917416419. The next prime is 487917416473. The reversal of 487917416448 is 844614719784.

It is a happy number.

487917416448 is a `hidden beast` number, since 4 + 8 + 7 + 9 + 174 + 16 + 448 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1813819258 + ... + 1813819526.

Almost surely, 2^487917416448 is an apocalyptic number.

487917416448 is a gapful number since it is divisible by the number (48) 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 487917416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924825496320).

487917416448 is an abundant number, since it is smaller than the sum of its proper divisors (1361733576192).

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

487917416448 is a wasteful number, since it uses less digits than its factorization.

487917416448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 363 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 487917416448 in words is "four hundred eighty-seven billion, nine hundred seventeen million, four hundred sixteen thousand, four hundred forty-eight".