487434240 has 384 divisors, whose sum is σ = 1816214400. Its totient is φ = 123863040.

The previous prime is 487434203. The next prime is 487434253. The reversal of 487434240 is 42434784.

It is a happy number.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 487434195 and 487434204.

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, 11335659 + ... + 11335701.

It is an arithmetic number, because the mean of its divisors is an integer number (4729725).

Almost surely, 2^487434240 is an apocalyptic number.

487434240 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 487434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908107200).

487434240 is an abundant number, since it is smaller than the sum of its proper divisors (1328780160).

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

487434240 is a wasteful number, since it uses less digits than its factorization.

487434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 487434240 is about 22077.9129448415. The cubic root of 487434240 is about 786.9950686062.

The spelling of 487434240 in words is "four hundred eighty-seven million, four hundred thirty-four thousand, two hundred forty".