457678080 has 576 divisors, whose sum is σ = 1854316800. Its totient is φ = 106168320.

The previous prime is 457678073. The next prime is 457678103. The reversal of 457678080 is 80876754.

457678080 is a `hidden beast` number, since 4 + 576 + 78 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 11162860 + ... + 11162900.

It is an arithmetic number, because the mean of its divisors is an integer number (3219300).

Almost surely, 2^457678080 is an apocalyptic number.

457678080 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 457678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927158400).

457678080 is an abundant number, since it is smaller than the sum of its proper divisors (1396638720).

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

457678080 is a wasteful number, since it uses less digits than its factorization.

457678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 457678080 is about 21393.4120700743. The cubic root of 457678080 is about 770.6432360518.

The spelling of 457678080 in words is "four hundred fifty-seven million, six hundred seventy-eight thousand, eighty".