457163440 has 80 divisors (see below), whose sum is σ = 1085198400. Its totient is φ = 179076096.

The previous prime is 457163429. The next prime is 457163461. The reversal of 457163440 is 44361754.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 457163396 and 457163405.

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, 897906 + ... + 898414.

It is an arithmetic number, because the mean of its divisors is an integer number (13564980).

Almost surely, 2^457163440 is an apocalyptic number.

457163440 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 457163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542599200).

457163440 is an abundant number, since it is smaller than the sum of its proper divisors (628034960).

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

457163440 is a wasteful number, since it uses less digits than its factorization.

457163440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 457163440 is about 21381.3806850727. The cubic root of 457163440 is about 770.3542756084.

The spelling of 457163440 in words is "four hundred fifty-seven million, one hundred sixty-three thousand, four hundred forty".