487801440 has 480 divisors, whose sum is σ = 2078334720. Its totient is φ = 105255936.

The previous prime is 487801429. The next prime is 487801441. The reversal of 487801440 is 44108784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 487801395 and 487801404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487801441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723539 + ... + 1723821.

It is an arithmetic number, because the mean of its divisors is an integer number (4329864).

Almost surely, 2^487801440 is an apocalyptic number.

487801440 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 487801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039167360).

487801440 is an abundant number, since it is smaller than the sum of its proper divisors (1590533280).

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

487801440 is a wasteful number, since it uses less digits than its factorization.

487801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 487801440 is about 22086.2273826926. The cubic root of 487801440 is about 787.1926419598.

The spelling of 487801440 in words is "four hundred eighty-seven million, eight hundred one thousand, four hundred forty".