456468048 has 100 divisors (see below), whose sum is σ = 1352040448. Its totient is φ = 148599360.

The previous prime is 456468041. The next prime is 456468049. The reversal of 456468048 is 840864654.

456468048 is a `hidden beast` number, since 4 + 564 + 6 + 80 + 4 + 8 = 666.

It is a super-3 number, since 3×456468048³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456467994 and 456468012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456468041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51633 + ... + 59823.

Almost surely, 2^456468048 is an apocalyptic number.

456468048 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 456468048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676020224).

456468048 is an abundant number, since it is smaller than the sum of its proper divisors (895572400).

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

456468048 is a wasteful number, since it uses less digits than its factorization.

456468048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 456468048 is about 21365.1128712207. The cubic root of 456468048 is about 769.9634817111.

The spelling of 456468048 in words is "four hundred fifty-six million, four hundred sixty-eight thousand, forty-eight".