457970429952 has 1248 divisors, whose sum is σ = 1738117094400. Its totient is φ = 116473724928.

The previous prime is 457970429951. The next prime is 457970429999. The reversal of 457970429952 is 259924079754.

457970429952 is a `hidden beast` number, since 4 + 57 + 9 + 70 + 429 + 95 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 457970429952.

It is not an unprimeable number, because it can be changed into a prime (457970429951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5145735124 + ... + 5145735212.

Almost surely, 2^457970429952 is an apocalyptic number.

457970429952 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 457970429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869058547200).

457970429952 is an abundant number, since it is smaller than the sum of its proper divisors (1280146664448).

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

457970429952 is a wasteful number, since it uses less digits than its factorization.

457970429952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 457970429952 in words is "four hundred fifty-seven billion, nine hundred seventy million, four hundred twenty-nine thousand, nine hundred fifty-two".