457246944 has 480 divisors, whose sum is σ = 1756339200. Its totient is φ = 113218560.

The previous prime is 457246921. The next prime is 457246949. The reversal of 457246944 is 449642754.

It is a self number, because there is not a number n which added to its sum of digits gives 457246944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457246949) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5787897 + ... + 5787975.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 2^457246944 is an apocalyptic number.

457246944 is a gapful number since it is divisible by the number (44) 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 457246944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878169600).

457246944 is an abundant number, since it is smaller than the sum of its proper divisors (1299092256).

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

457246944 is a wasteful number, since it uses less digits than its factorization.

457246944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 457246944 is about 21383.3333229410. Note that the first 4 decimals coincide. The cubic root of 457246944 is about 770.4011762290.

The spelling of 457246944 in words is "four hundred fifty-seven million, two hundred forty-six thousand, nine hundred forty-four".