487261440 has 288 divisors, whose sum is σ = 1807223040. Its totient is φ = 124084224.

The previous prime is 487261373. The next prime is 487261457. The reversal of 487261440 is 44162784.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 487261395 and 487261404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794574 + ... + 795186.

It is an arithmetic number, because the mean of its divisors is an integer number (6275080).

Almost surely, 2^487261440 is an apocalyptic number.

487261440 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 487261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903611520).

487261440 is an abundant number, since it is smaller than the sum of its proper divisors (1319961600).

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

487261440 is a wasteful number, since it uses less digits than its factorization.

487261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 487261440 is about 22073.9991845610. Note that the first 3 decimals coincide. The cubic root of 487261440 is about 786.9020585752.

Adding to 487261440 its sum of digits (36), we get a square (487261476 = 22074²).

The spelling of 487261440 in words is "four hundred eighty-seven million, two hundred sixty-one thousand, four hundred forty".