457253440 has 112 divisors (see below), whose sum is σ = 1287475200. Its totient is φ = 151345152.

The previous prime is 457253429. The next prime is 457253473. The reversal of 457253440 is 44352754.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 457253396 and 457253405.

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, 61441 + ... + 68479.

Almost surely, 2^457253440 is an apocalyptic number.

457253440 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 457253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643737600).

457253440 is an abundant number, since it is smaller than the sum of its proper divisors (830221760).

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

457253440 is a wasteful number, since it uses less digits than its factorization.

457253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7092 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The square root of 457253440 is about 21383.4852164001. The cubic root of 457253440 is about 770.4048245146.

The spelling of 457253440 in words is "four hundred fifty-seven million, two hundred fifty-three thousand, four hundred forty".