429077493 has 48 divisors (see below), whose sum is σ = 711075456. Its totient is φ = 256841280.

The previous prime is 429077491. The next prime is 429077543. The reversal of 429077493 is 394770924.

429077493 is a `hidden beast` number, since 4 + 2 + 90 + 77 + 493 = 666.

It is not a de Polignac number, because 429077493 - 2¹ = 429077491 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429077491) 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 47 ways as a sum of consecutive naturals, for example, 115048 + ... + 118718.

It is an arithmetic number, because the mean of its divisors is an integer number (14814072).

Almost surely, 2^429077493 is an apocalyptic number.

It is an amenable number.

429077493 is a deficient number, since it is larger than the sum of its proper divisors (281997963).

429077493 is a wasteful number, since it uses less digits than its factorization.

429077493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 429077493 is about 20714.1857913846. The cubic root of 429077493 is about 754.2440823853.

The spelling of 429077493 in words is "four hundred twenty-nine million, seventy-seven thousand, four hundred ninety-three".