487185080400 has 180 divisors, whose sum is σ = 1691020248060. Its totient is φ = 129888921600.

The previous prime is 487185080383. The next prime is 487185080471. The reversal of 487185080400 is 4080581784.

487185080400 is a `hidden beast` number, since 487 + 1 + 8 + 50 + 80 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 145353087504 + 341831992896 = 381252^2 + 584664^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22024546 + ... + 22046654.

Almost surely, 2^487185080400 is an apocalyptic number.

487185080400 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 487185080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845510124030).

487185080400 is an abundant number, since it is smaller than the sum of its proper divisors (1203835167660).

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

487185080400 is a wasteful number, since it uses less digits than its factorization.

487185080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28254 (or 28240 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 487185080400 in words is "four hundred eighty-seven billion, one hundred eighty-five million, eighty thousand, four hundred".