487185126400 has 528 divisors, whose sum is σ = 1423670486400. Its totient is φ = 165219532800.

The previous prime is 487185126397. The next prime is 487185126403. The reversal of 487185126400 is 4621581784.

It is an interprime number because it is at equal distance from previous prime (487185126397) and next prime (487185126403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487185126403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992230155 + ... + 992230645.

Almost surely, 2^487185126400 is an apocalyptic number.

487185126400 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 487185126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711835243200).

487185126400 is an abundant number, since it is smaller than the sum of its proper divisors (936485360000).

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

487185126400 is a wasteful number, since it uses less digits than its factorization.

487185126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 487185126400 in words is "four hundred eighty-seven billion, one hundred eighty-five million, one hundred twenty-six thousand, four hundred".