457400786752 has 112 divisors (see below), whose sum is σ = 1117661155072. Its totient is φ = 180861050880.

The previous prime is 457400786707. The next prime is 457400786833. The reversal of 457400786752 is 257687004754.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 457400786693 and 457400786702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12567493 + ... + 12603835.

It is an arithmetic number, because the mean of its divisors is an integer number (9979117456).

Almost surely, 2^457400786752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457400786752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558830577536).

457400786752 is an abundant number, since it is smaller than the sum of its proper divisors (660260368320).

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

457400786752 is a wasteful number, since it uses less digits than its factorization.

457400786752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38536 (or 38526 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 55.

The spelling of 457400786752 in words is "four hundred fifty-seven billion, four hundred million, seven hundred eighty-six thousand, seven hundred fifty-two".