457225249152 has 256 divisors, whose sum is σ = 1398993223680. Its totient is φ = 129605560320.

The previous prime is 457225249133. The next prime is 457225249163. The reversal of 457225249152 is 251942522754.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239760583 + ... + 239762489.

It is an arithmetic number, because the mean of its divisors is an integer number (5464817280).

Almost surely, 2^457225249152 is an apocalyptic number.

457225249152 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 457225249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699496611840).

457225249152 is an abundant number, since it is smaller than the sum of its proper divisors (941767974528).

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

457225249152 is a wasteful number, since it uses less digits than its factorization.

457225249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2577 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 48.

The spelling of 457225249152 in words is "four hundred fifty-seven billion, two hundred twenty-five million, two hundred forty-nine thousand, one hundred fifty-two".