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457470029 is a prime number
BaseRepresentation
bin11011010001000…
…111000001001101
31011212210212220102
4123101013001031
51414103020104
6113221100445
714223300602
oct3321070115
91155725812
10457470029
11215259005
12109257725
1373a13b33
1444a846a9
152a266a1e
hex1b44704d

457470029 has 2 divisors, whose sum is σ = 457470030. Its totient is φ = 457470028.

The previous prime is 457469993. The next prime is 457470031. The reversal of 457470029 is 920074754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232410025 + 225060004 = 15245^2 + 15002^2 .

It is a cyclic number.

It is not a de Polignac number, because 457470029 - 28 = 457469773 is a prime.

Together with 457470031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 457469974 and 457470001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457470059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228735014 + 228735015.

It is an arithmetic number, because the mean of its divisors is an integer number (228735015).

Almost surely, 2457470029 is an apocalyptic number.

It is an amenable number.

457470029 is a deficient number, since it is larger than the sum of its proper divisors (1).

457470029 is an equidigital number, since it uses as much as digits as its factorization.

457470029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 457470029 is about 21388.5490157701. The cubic root of 457470029 is about 770.5264455217.

The spelling of 457470029 in words is "four hundred fifty-seven million, four hundred seventy thousand, twenty-nine".