457267680 has 288 divisors, whose sum is σ = 1706140800. Its totient is φ = 115333632.

The previous prime is 457267663. The next prime is 457267709. The reversal of 457267680 is 86762754.

457267680 is a `hidden beast` number, since 4 + 572 + 6 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 738411 + ... + 739029.

It is an arithmetic number, because the mean of its divisors is an integer number (5924100).

Almost surely, 2^457267680 is an apocalyptic number.

457267680 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 457267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853070400).

457267680 is an abundant number, since it is smaller than the sum of its proper divisors (1248873120).

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

457267680 is a wasteful number, since it uses less digits than its factorization.

457267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 457267680 is about 21383.8181810452. The cubic root of 457267680 is about 770.4128218671.

The spelling of 457267680 in words is "four hundred fifty-seven million, two hundred sixty-seven thousand, six hundred eighty".