460219840 has 56 divisors (see below), whose sum is σ = 1106222832. Its totient is φ = 182353920.

The previous prime is 460219787. The next prime is 460219849. The reversal of 460219840 is 48912064.

It is a super-2 number, since 2×460219840² = 423604602259251200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 460219796 and 460219805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460219849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27520 + ... + 40960.

Almost surely, 2^460219840 is an apocalyptic number.

460219840 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 460219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553111416).

460219840 is an abundant number, since it is smaller than the sum of its proper divisors (646002992).

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

460219840 is a wasteful number, since it uses less digits than its factorization.

460219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13565 (or 13555 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 460219840 is about 21452.7350237679. The cubic root of 460219840 is about 772.0672174284.

It can be divided in two parts, 4602 and 19840, that added together give a palindrome (24442).

The spelling of 460219840 in words is "four hundred sixty million, two hundred nineteen thousand, eight hundred forty".