487167782400 has 1440 divisors, whose sum is σ = 2042824608000. Its totient is φ = 113347952640.

The previous prime is 487167782399. The next prime is 487167782401. The reversal of 487167782400 is 4287761784.

487167782400 is a `hidden beast` number, since 4 + 8 + 7 + 167 + 78 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (487167782399) and next prime (487167782401).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487167782401) 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 143 ways as a sum of consecutive naturals, for example, 1109721381 + ... + 1109721819.

It is an arithmetic number, because the mean of its divisors is an integer number (1418628200).

Almost surely, 2^487167782400 is an apocalyptic number.

487167782400 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 487167782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021412304000).

487167782400 is an abundant number, since it is smaller than the sum of its proper divisors (1555656825600).

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

487167782400 is a wasteful number, since it uses less digits than its factorization.

487167782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 487167782400 in words is "four hundred eighty-seven billion, one hundred sixty-seven million, seven hundred eighty-two thousand, four hundred".