459784080 has 320 divisors, whose sum is σ = 1851310080. Its totient is φ = 102698496.

The previous prime is 459784027. The next prime is 459784103. The reversal of 459784080 is 80487954.

It is a super-2 number, since 2×459784080² = 422802800442892800, which contains 22 as substring.

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

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710317 + ... + 710963.

It is an arithmetic number, because the mean of its divisors is an integer number (5785344).

Almost surely, 2^459784080 is an apocalyptic number.

459784080 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 459784080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925655040).

459784080 is an abundant number, since it is smaller than the sum of its proper divisors (1391526000).

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

459784080 is a wasteful number, since it uses less digits than its factorization.

459784080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 459784080 is about 21442.5763377445. The cubic root of 459784080 is about 771.8234627252.

The spelling of 459784080 in words is "four hundred fifty-nine million, seven hundred eighty-four thousand, eighty".