458473720 has 96 divisors (see below), whose sum is σ = 1103699520. Its totient is φ = 171311360.

The previous prime is 458473711. The next prime is 458473721. The reversal of 458473720 is 27374854.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458473721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994290 + ... + 994750.

It is an arithmetic number, because the mean of its divisors is an integer number (11496870).

Almost surely, 2^458473720 is an apocalyptic number.

458473720 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 458473720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551849760).

458473720 is an abundant number, since it is smaller than the sum of its proper divisors (645225800).

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

458473720 is a wasteful number, since it uses less digits than its factorization.

458473720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The square root of 458473720 is about 21411.9994395666. Note that the first 3 decimals coincide. The cubic root of 458473720 is about 771.0895465669.

The spelling of 458473720 in words is "four hundred fifty-eight million, four hundred seventy-three thousand, seven hundred twenty".