456529680 has 120 divisors (see below), whose sum is σ = 1574707992. Its totient is φ = 118444032.

The previous prime is 456529649. The next prime is 456529693. The reversal of 456529680 is 86925654.

456529680 is a `hidden beast` number, since 4 + 565 + 2 + 9 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17040384 + 439489296 = 4128^2 + 20964^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 18072 + ... + 35208.

Almost surely, 2^456529680 is an apocalyptic number.

456529680 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 456529680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787353996).

456529680 is an abundant number, since it is smaller than the sum of its proper divisors (1118178312).

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

456529680 is a wasteful number, since it uses less digits than its factorization.

456529680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17193 (or 17184 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 456529680 is about 21366.5551739161. Note that the first 3 decimals coincide. The cubic root of 456529680 is about 769.9981334637.

The spelling of 456529680 in words is "four hundred fifty-six million, five hundred twenty-nine thousand, six hundred eighty".