460957006 has 16 divisors (see below), whose sum is σ = 745924464. Its totient is φ = 212827264.

The previous prime is 460956983. The next prime is 460957009. The reversal of 460957006 is 600759064.

It is a super-2 number, since 2×460957006² = 424962722760968072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460957009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126100 + ... + 129703.

It is an arithmetic number, because the mean of its divisors is an integer number (46620279).

Almost surely, 2^460957006 is an apocalyptic number.

460957006 is a deficient number, since it is larger than the sum of its proper divisors (284967458).

460957006 is a wasteful number, since it uses less digits than its factorization.

460957006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255875.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 460957006 is about 21469.9093151322. The cubic root of 460957006 is about 772.4792220439.

The spelling of 460957006 in words is "four hundred sixty million, nine hundred fifty-seven thousand, six".