457320040 has 128 divisors (see below), whose sum is σ = 1116944640. Its totient is φ = 168103936.

The previous prime is 457320023. The next prime is 457320079. The reversal of 457320040 is 40023754.

It is a junction number, because it is equal to n+sod(n) for n = 457319987 and 457320014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4047024 + ... + 4047136.

It is an arithmetic number, because the mean of its divisors is an integer number (8726130).

Almost surely, 2^457320040 is an apocalyptic number.

457320040 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 457320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558472320).

457320040 is an abundant number, since it is smaller than the sum of its proper divisors (659624600).

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

457320040 is a wasteful number, since it uses less digits than its factorization.

457320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 457320040 is about 21385.0424362450. The cubic root of 457320040 is about 770.4422264351.

Adding to 457320040 its reverse (40023754), we get a palindrome (497343794).

The spelling of 457320040 in words is "four hundred fifty-seven million, three hundred twenty thousand, forty".