457421440 has 64 divisors (see below), whose sum is σ = 1249752960. Its totient is φ = 156828672.

The previous prime is 457421407. The next prime is 457421441. The reversal of 457421440 is 44124754.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (457421441) 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, 46572 + ... + 55531.

It is an arithmetic number, because the mean of its divisors is an integer number (19527390).

Almost surely, 2^457421440 is an apocalyptic number.

457421440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457421440 is an abundant number, since it is smaller than the sum of its proper divisors (792331520).

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

457421440 is a wasteful number, since it uses less digits than its factorization.

457421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102129 (or 102117 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 31.

The square root of 457421440 is about 21387.4131208054. The cubic root of 457421440 is about 770.4991647290.

The spelling of 457421440 in words is "four hundred fifty-seven million, four hundred twenty-one thousand, four hundred forty".