487073664 has 576 divisors, whose sum is σ = 1953993600. Its totient is φ = 112803840.

The previous prime is 487073659. The next prime is 487073669. The reversal of 487073664 is 466370784.

It is an interprime number because it is at equal distance from previous prime (487073659) and next prime (487073669).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487073669) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25635447 + ... + 25635465.

It is an arithmetic number, because the mean of its divisors is an integer number (3392350).

Almost surely, 2^487073664 is an apocalyptic number.

487073664 is a gapful number since it is divisible by the number (44) 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 487073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976996800).

487073664 is an abundant number, since it is smaller than the sum of its proper divisors (1466919936).

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

487073664 is a wasteful number, since it uses less digits than its factorization.

487073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 487073664 is about 22069.7454448392. The cubic root of 487073664 is about 786.8009627405.

The spelling of 487073664 in words is "four hundred eighty-seven million, seventy-three thousand, six hundred sixty-four".