458879680 has 56 divisors (see below), whose sum is σ = 1248814368. Its totient is φ = 157329408.

The previous prime is 458879653. The next prime is 458879683. The reversal of 458879680 is 86978854.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (458879683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100189 + ... + 104668.

Almost surely, 2^458879680 is an apocalyptic number.

458879680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

458879680 is an abundant number, since it is smaller than the sum of its proper divisors (789934688).

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

458879680 is a wasteful number, since it uses less digits than its factorization.

458879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204881 (or 204871 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The square root of 458879680 is about 21421.4770732552. The cubic root of 458879680 is about 771.3170689975.

The spelling of 458879680 in words is "four hundred fifty-eight million, eight hundred seventy-nine thousand, six hundred eighty".