460818720 has 360 divisors, whose sum is σ = 1725877692. Its totient is φ = 115706880.

The previous prime is 460818713. The next prime is 460818727. The reversal of 460818720 is 27818064.

It is an interprime number because it is at equal distance from previous prime (460818713) and next prime (460818727).

It can be written as a sum of positive squares in 2 ways, for example, as 449609616 + 11209104 = 21204^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (460818727) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12454542 + ... + 12454578.

Almost surely, 2^460818720 is an apocalyptic number.

460818720 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 460818720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862938846).

460818720 is an abundant number, since it is smaller than the sum of its proper divisors (1265058972).

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

460818720 is a wasteful number, since it uses less digits than its factorization.

460818720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 460818720 is about 21466.6886128252. The cubic root of 460818720 is about 772.4019670112.

The spelling of 460818720 in words is "four hundred sixty million, eight hundred eighteen thousand, seven hundred twenty".