487616640 has 384 divisors, whose sum is σ = 1858619520. Its totient is φ = 108380160.

The previous prime is 487616621. The next prime is 487616653. The reversal of 487616640 is 46616784.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 487616592 and 487616601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6679644 + ... + 6679716.

It is an arithmetic number, because the mean of its divisors is an integer number (4840155).

Almost surely, 2^487616640 is an apocalyptic number.

487616640 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 487616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929309760).

487616640 is an abundant number, since it is smaller than the sum of its proper divisors (1371002880).

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

487616640 is a wasteful number, since it uses less digits than its factorization.

487616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 487616640 is about 22082.0433837089. The cubic root of 487616640 is about 787.0932220164.

The spelling of 487616640 in words is "four hundred eighty-seven million, six hundred sixteen thousand, six hundred forty".