456048450 has 288 divisors, whose sum is σ = 1519277760. Its totient is φ = 96422400.

The previous prime is 456048433. The next prime is 456048457. The reversal of 456048450 is 54840654.

456048450 is a `hidden beast` number, since 4 + 5 + 604 + 8 + 45 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (456048457) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1222464 + ... + 1222836.

It is an arithmetic number, because the mean of its divisors is an integer number (5275270).

Almost surely, 2^456048450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456048450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759638880).

456048450 is an abundant number, since it is smaller than the sum of its proper divisors (1063229310).

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

456048450 is a wasteful number, since it uses less digits than its factorization.

456048450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 456048450 is about 21355.2909134950. The cubic root of 456048450 is about 769.7274855063.

The spelling of 456048450 in words is "four hundred fifty-six million, forty-eight thousand, four hundred fifty".