457762500000 has 648 divisors, whose sum is σ = 1757969803044. Its totient is φ = 112320000000.

The previous prime is 457762499989. The next prime is 457762500001. The reversal of 457762500000 is 5267754.

It can be written as a sum of positive squares in 18 ways, for example, as 88472933136 + 369289566864 = 297444^2 + 607692^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457762500001) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1462499844 + ... + 1462500156.

Almost surely, 2^457762500000 is an apocalyptic number.

457762500000 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 457762500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878984901522).

457762500000 is an abundant number, since it is smaller than the sum of its proper divisors (1300207303044).

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

457762500000 is an frugal number, since it uses more digits than its factorization.

457762500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 457762500000 its reverse (5267754), we get a palindrome (457767767754).

The spelling of 457762500000 in words is "four hundred fifty-seven billion, seven hundred sixty-two million, five hundred thousand".