457485103595520 has 5440 divisors, whose sum is σ = 2243732718560256. Its totient is φ = 86103356866560.

The previous prime is 457485103595501. The next prime is 457485103595581. The reversal of 457485103595520 is 25595301584754.

It is a happy number.

457485103595520 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 8 + 5 + 10 + 3 + 5 + 95 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1780097679232 + ... + 1780097679488.

Almost surely, 2^{457485103595520} is an apocalyptic number.

457485103595520 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 457485103595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121866359280128).

457485103595520 is an abundant number, since it is smaller than the sum of its proper divisors (1786247614964736).

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

457485103595520 is a wasteful number, since it uses less digits than its factorization.

457485103595520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 151200000, while the sum is 63.

The spelling of 457485103595520 in words is "four hundred fifty-seven trillion, four hundred eighty-five billion, one hundred three million, five hundred ninety-five thousand, five hundred twenty".