458472679441920 has 3840 divisors, whose sum is σ = 2010535973462016. Its totient is φ = 98711853465600.

The previous prime is 458472679441901. The next prime is 458472679441927. The reversal of 458472679441920 is 29144976274854.

458472679441920 is a `hidden beast` number, since 4 + 5 + 8 + 4 + 7 + 26 + 79 + 441 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458472679441927) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2650131094954 + ... + 2650131095126.

Almost surely, 2^{458472679441920} is an apocalyptic number.

458472679441920 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 458472679441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005267986731008).

458472679441920 is an abundant number, since it is smaller than the sum of its proper divisors (1552063294020096).

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

458472679441920 is an equidigital number, since it uses as much as digits as its factorization.

458472679441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 458472679441920 in words is "four hundred fifty-eight trillion, four hundred seventy-two billion, six hundred seventy-nine million, four hundred forty-one thousand, nine hundred twenty".