457482720 has 96 divisors (see below), whose sum is σ = 1458559872. Its totient is φ = 120515072.

The previous prime is 457482709. The next prime is 457482731. The reversal of 457482720 is 27284754.

It is an interprime number because it is at equal distance from previous prime (457482709) and next prime (457482731).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34099 + ... + 45581.

It is an arithmetic number, because the mean of its divisors is an integer number (15193332).

Almost surely, 2^457482720 is an apocalyptic number.

457482720 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 457482720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729279936).

457482720 is an abundant number, since it is smaller than the sum of its proper divisors (1001077152).

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

457482720 is a wasteful number, since it uses less digits than its factorization.

457482720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11584 (or 11576 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 457482720 is about 21388.8456911541. The cubic root of 457482720 is about 770.5335706957.

The spelling of 457482720 in words is "four hundred fifty-seven million, four hundred eighty-two thousand, seven hundred twenty".