457070240 has 72 divisors (see below), whose sum is σ = 1186969140. Its totient is φ = 166200320.

The previous prime is 457070203. The next prime is 457070291. The reversal of 457070240 is 42070754.

It can be written as a sum of positive squares in 2 ways, for example, as 425844496 + 31225744 = 20636^2 + 5588^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7556 + ... + 31164.

Almost surely, 2^457070240 is an apocalyptic number.

457070240 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 457070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593484570).

457070240 is an abundant number, since it is smaller than the sum of its proper divisors (729898900).

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

457070240 is a wasteful number, since it uses less digits than its factorization.

457070240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23646 (or 23627 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 457070240 is about 21379.2011076186. The cubic root of 457070240 is about 770.3019224150.

The spelling of 457070240 in words is "four hundred fifty-seven million, seventy thousand, two hundred forty".