461422848 has 72 divisors (see below), whose sum is σ = 1267737856. Its totient is φ = 148838400.

The previous prime is 461422783. The next prime is 461422859. The reversal of 461422848 is 848224164.

It is a super-2 number, since 2×461422848² = 425822089312862208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14118 + ... + 33498.

Almost surely, 2^461422848 is an apocalyptic number.

461422848 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 461422848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633868928).

461422848 is an abundant number, since it is smaller than the sum of its proper divisors (806315008).

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

461422848 is a wasteful number, since it uses less digits than its factorization.

461422848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19431 (or 19417 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 461422848 is about 21480.7552939835. The cubic root of 461422848 is about 772.7393562913.

The spelling of 461422848 in words is "four hundred sixty-one million, four hundred twenty-two thousand, eight hundred forty-eight".