459267480 has 192 divisors, whose sum is σ = 1761177600. Its totient is φ = 101571840.

The previous prime is 459267451. The next prime is 459267499. The reversal of 459267480 is 84762954.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75181 + ... + 81059.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2^459267480 is an apocalyptic number.

459267480 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 459267480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

459267480 is an abundant number, since it is smaller than the sum of its proper divisors (1301910120).

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

459267480 is a wasteful number, since it uses less digits than its factorization.

459267480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5927 counting only the distinct ones).

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

The square root of 459267480 is about 21430.5268250690. The cubic root of 459267480 is about 771.5342882749.

The spelling of 459267480 in words is "four hundred fifty-nine million, two hundred sixty-seven thousand, four hundred eighty".