460001520 has 180 divisors, whose sum is σ = 1692300168. Its totient is φ = 111052800.

The previous prime is 460001513. The next prime is 460001527. The reversal of 460001520 is 25100064.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (460001513) and next prime (460001527).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 460001493 and 460001502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460001527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1908600 + ... + 1908840.

Almost surely, 2^460001520 is an apocalyptic number.

460001520 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 460001520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846150084).

460001520 is an abundant number, since it is smaller than the sum of its proper divisors (1232298648).

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

460001520 is a wasteful number, since it uses less digits than its factorization.

460001520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 460001520 is about 21447.6460246807. The cubic root of 460001520 is about 771.9451131927.

Adding to 460001520 its reverse (25100064), we get a palindrome (485101584).

The spelling of 460001520 in words is "four hundred sixty million, one thousand, five hundred twenty".