458002272 has 192 divisors, whose sum is σ = 1497000960. Its totient is φ = 119384064.

The previous prime is 458002271. The next prime is 458002301. The reversal of 458002272 is 272200854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458002271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899554 + ... + 900062.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2^458002272 is an apocalyptic number.

458002272 is a gapful number since it is divisible by the number (42) 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 458002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748500480).

458002272 is an abundant number, since it is smaller than the sum of its proper divisors (1038998688).

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

458002272 is a wasteful number, since it uses less digits than its factorization.

458002272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 458002272 is about 21400.9876407609. The cubic root of 458002272 is about 770.8251524222.

The spelling of 458002272 in words is "four hundred fifty-eight million, two thousand, two hundred seventy-two".