464920029 has 48 divisors (see below), whose sum is σ = 820430208. Its totient is φ = 247643136.

The previous prime is 464920009. The next prime is 464920031. The reversal of 464920029 is 920029464.

464920029 is a `hidden beast` number, since 4 + 649 + 2 + 0 + 0 + 2 + 9 = 666.

It is not a de Polignac number, because 464920029 - 2⁵ = 464919997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 464919975 and 464920002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464920009) 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 47 ways as a sum of consecutive naturals, for example, 112569 + ... + 116625.

It is an arithmetic number, because the mean of its divisors is an integer number (17092296).

Almost surely, 2^464920029 is an apocalyptic number.

It is an amenable number.

464920029 is a deficient number, since it is larger than the sum of its proper divisors (355510179).

464920029 is a wasteful number, since it uses less digits than its factorization.

464920029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 464920029 is about 21562.0042899541. The cubic root of 464920029 is about 774.6866740357.

The spelling of 464920029 in words is "four hundred sixty-four million, nine hundred twenty thousand, twenty-nine".