460420848 has 120 divisors (see below), whose sum is σ = 1354080000. Its totient is φ = 151429824.

The previous prime is 460420819. The next prime is 460420861. The reversal of 460420848 is 848024064.

460420848 is a `hidden beast` number, since 4 + 604 + 2 + 0 + 8 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306403 + ... + 307901.

It is an arithmetic number, because the mean of its divisors is an integer number (11284000).

Almost surely, 2^460420848 is an apocalyptic number.

460420848 is a gapful number since it is divisible by the number (48) 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 460420848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040000).

460420848 is an abundant number, since it is smaller than the sum of its proper divisors (893659152).

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

460420848 is a wasteful number, since it uses less digits than its factorization.

460420848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 460420848 is about 21457.4194161367. The cubic root of 460420848 is about 772.1796050927.

It can be divided in two parts, 4604 and 20848, that added together give a palindrome (25452).

The spelling of 460420848 in words is "four hundred sixty million, four hundred twenty thousand, eight hundred forty-eight".