457612029000 has 576 divisors, whose sum is σ = 1843212898800. Its totient is φ = 102041856000.

The previous prime is 457612028981. The next prime is 457612029011. The reversal of 457612029000 is 920216754.

It can be written as a sum of positive squares in 8 ways, for example, as 1103701284 + 456508327716 = 33222^2 + 675654^2 .

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

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 143 ways as a sum of consecutive naturals, for example, 18068346 + ... + 18093654.

Almost surely, 2^457612029000 is an apocalyptic number.

457612029000 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 457612029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921606449400).

457612029000 is an abundant number, since it is smaller than the sum of its proper divisors (1385600869800).

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

457612029000 is a wasteful number, since it uses less digits than its factorization.

457612029000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25391 (or 25367 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 457612029000 in words is "four hundred fifty-seven billion, six hundred twelve million, twenty-nine thousand".