459687240 has 96 divisors (see below), whose sum is σ = 1496921400. Its totient is φ = 122342400.

The previous prime is 459687233. The next prime is 459687271. The reversal of 459687240 is 42786954.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 187635204 + 272052036 = 13698^2 + 16494^2 .

It is a super-2 number, since 2×459687240² = 422624717237635200, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 254340 + ... + 256140.

Almost surely, 2^459687240 is an apocalyptic number.

459687240 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 459687240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748460700).

459687240 is an abundant number, since it is smaller than the sum of its proper divisors (1037234160).

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

459687240 is a wasteful number, since it uses less digits than its factorization.

459687240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 459687240 is about 21440.3180946552. The cubic root of 459687240 is about 771.7692716128.

The spelling of 459687240 in words is "four hundred fifty-nine million, six hundred eighty-seven thousand, two hundred forty".