456042048 has 224 divisors, whose sum is σ = 1523512320. Its totient is φ = 116951040.

The previous prime is 456042007. The next prime is 456042049. The reversal of 456042048 is 840240654.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456042049) 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 31 ways as a sum of consecutive naturals, for example, 1611315 + ... + 1611597.

Almost surely, 2^456042048 is an apocalyptic number.

456042048 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 456042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761756160).

456042048 is an abundant number, since it is smaller than the sum of its proper divisors (1067470272).

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

456042048 is a wasteful number, since it uses less digits than its factorization.

456042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 456042048 is about 21355.1410203726. The cubic root of 456042048 is about 769.7238836825.

The spelling of 456042048 in words is "four hundred fifty-six million, forty-two thousand, forty-eight".