457783872 has 336 divisors, whose sum is σ = 1605320640. Its totient is φ = 113799168.

The previous prime is 457783861. The next prime is 457783873. The reversal of 457783872 is 278387754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457783873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2323678 + ... + 2323874.

It is an arithmetic number, because the mean of its divisors is an integer number (4777740).

Almost surely, 2^457783872 is an apocalyptic number.

457783872 is a gapful number since it is divisible by the number (42) 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 457783872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802660320).

457783872 is an abundant number, since it is smaller than the sum of its proper divisors (1147536768).

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

457783872 is a wasteful number, since it uses less digits than its factorization.

457783872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 51.

The square root of 457783872 is about 21395.8844640739. The cubic root of 457783872 is about 770.7026093769.

The spelling of 457783872 in words is "four hundred fifty-seven million, seven hundred eighty-three thousand, eight hundred seventy-two".