459069480 has 48 divisors (see below), whose sum is σ = 1491976980. Its totient is φ = 122418432.

The previous prime is 459069467. The next prime is 459069491. The reversal of 459069480 is 84960954.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 425266884 + 33802596 = 20622^2 + 5814^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637237 + ... + 637956.

Almost surely, 2^459069480 is an apocalyptic number.

459069480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459069480 is an abundant number, since it is smaller than the sum of its proper divisors (1032907500).

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

459069480 is a wasteful number, since it uses less digits than its factorization.

459069480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275210 (or 1275203 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 459069480 is about 21425.9067486069. The cubic root of 459069480 is about 771.4233973786.

The spelling of 459069480 in words is "four hundred fifty-nine million, sixty-nine thousand, four hundred eighty".