459451440 has 300 divisors, whose sum is σ = 1857555216. Its totient is φ = 104944896.

The previous prime is 459451423. The next prime is 459451441. The reversal of 459451440 is 44154954.

It is a super-2 number, since 2×459451440² = 422191251436147200, which contains 22 as substring.

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 = 459451395 and 459451404.

It is not an unprimeable number, because it can be changed into a prime (459451441) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 316797 + ... + 318243.

Almost surely, 2^459451440 is an apocalyptic number.

459451440 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 459451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928777608).

459451440 is an abundant number, since it is smaller than the sum of its proper divisors (1398103776).

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

459451440 is a wasteful number, since it uses less digits than its factorization.

459451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 459451440 is about 21434.8184037094. The cubic root of 459451440 is about 771.6372874405.

The spelling of 459451440 in words is "four hundred fifty-nine million, four hundred fifty-one thousand, four hundred forty".