457152967 has 16 divisors (see below), whose sum is σ = 491871744. Its totient is φ = 423360000.

The previous prime is 457152959. The next prime is 457152979. The reversal of 457152967 is 769251754.

It is a cyclic number.

It is not a de Polignac number, because 457152967 - 2³ = 457152959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457152907) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 310042 + ... + 311512.

It is an arithmetic number, because the mean of its divisors is an integer number (30741984).

Almost surely, 2^457152967 is an apocalyptic number.

457152967 is a deficient number, since it is larger than the sum of its proper divisors (34718777).

457152967 is a wasteful number, since it uses less digits than its factorization.

457152967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770.

The product of its digits is 529200, while the sum is 46.

The square root of 457152967 is about 21381.1357743222. The cubic root of 457152967 is about 770.3483929698.

The spelling of 457152967 in words is "four hundred fifty-seven million, one hundred fifty-two thousand, nine hundred sixty-seven".