429768001 has 8 divisors (see below), whose sum is σ = 465935400. Its totient is φ = 394044672.

The previous prime is 429767999. The next prime is 429768089. The reversal of 429768001 is 100867924.

It can be written as a sum of positive squares in 4 ways, for example, as 51854401 + 377913600 = 7201^2 + 19440^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 429768001 - 2¹ = 429767999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (429768091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109000 + ... + 112873.

It is an arithmetic number, because the mean of its divisors is an integer number (58241925).

Almost surely, 2^429768001 is an apocalyptic number.

It is an amenable number.

429768001 is a deficient number, since it is larger than the sum of its proper divisors (36167399).

429768001 is a wasteful number, since it uses less digits than its factorization.

429768001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222035.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 429768001 is about 20730.8466059638. The cubic root of 429768001 is about 754.6484634530.

The spelling of 429768001 in words is "four hundred twenty-nine million, seven hundred sixty-eight thousand, one".