487267920 has 320 divisors, whose sum is σ = 1828454400. Its totient is φ = 118817280.

The previous prime is 487267883. The next prime is 487267927. The reversal of 487267920 is 29762784.

It is a super-2 number, since 2×487267920² = 474860051722252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487267927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1272049 + ... + 1272431.

It is an arithmetic number, because the mean of its divisors is an integer number (5713920).

Almost surely, 2^487267920 is an apocalyptic number.

487267920 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 487267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914227200).

487267920 is an abundant number, since it is smaller than the sum of its proper divisors (1341186480).

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

487267920 is a wasteful number, since it uses less digits than its factorization.

487267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 487267920 is about 22074.1459630945. The cubic root of 487267920 is about 786.9055468482.

The spelling of 487267920 in words is "four hundred eighty-seven million, two hundred sixty-seven thousand, nine hundred twenty".