460020000 has 480 divisors, whose sum is σ = 1785478464. Its totient is φ = 102400000.

The previous prime is 460019969. The next prime is 460020013. The reversal of 460020000 is 20064.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11219980 + ... + 11220020.

Almost surely, 2^460020000 is an apocalyptic number.

460020000 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 460020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892739232).

460020000 is an abundant number, since it is smaller than the sum of its proper divisors (1325458464).

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

460020000 is a wasteful number, since it uses less digits than its factorization.

460020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 460020000 is about 21448.0768368635. The cubic root of 460020000 is about 771.9554503720.

Adding to 460020000 its reverse (20064), we get a palindrome (460040064).

The spelling of 460020000 in words is "four hundred sixty million, twenty thousand".