456449280 has 144 divisors (see below), whose sum is σ = 1666137984. Its totient is φ = 104325120.

The previous prime is 456449263. The next prime is 456449309. The reversal of 456449280 is 82944654.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18390 + ... + 35370.

Almost surely, 2^456449280 is an apocalyptic number.

456449280 is a gapful number since it is divisible by the number (40) 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 456449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833068992).

456449280 is an abundant number, since it is smaller than the sum of its proper divisors (1209688704).

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

456449280 is a wasteful number, since it uses less digits than its factorization.

456449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17012 (or 16998 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 456449280 is about 21364.6736459980. The cubic root of 456449280 is about 769.9529290391.

The spelling of 456449280 in words is "four hundred fifty-six million, four hundred forty-nine thousand, two hundred eighty".