429754980249 has 243 divisors, whose sum is σ = 802627027839. Its totient is φ = 220896486720.

The previous prime is 429754980241. The next prime is 429754980251. The reversal of 429754980249 is 942089457924.

The square root of 429754980249 is 655557.

It is a perfect power (a square), and thus also a powerful number.

429754980249 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 549 + 80 + 2 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 309809126025 + 119945854224 = 556605^2 + 346332^2 .

It is not a de Polignac number, because 429754980249 - 2³ = 429754980241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (429754980241) 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 242 ways as a sum of consecutive naturals, for example, 8108584507 + ... + 8108584559.

Almost surely, 2^429754980249 is an apocalyptic number.

429754980249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

429754980249 is the 655557-th square number.

429754980249 is the 327779-th centered octagonal number.

It is an amenable number.

429754980249 is a deficient number, since it is larger than the sum of its proper divisors (372872047590).

429754980249 is a wasteful number, since it uses less digits than its factorization.

429754980249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 429754980249 in words is "four hundred twenty-nine billion, seven hundred fifty-four million, nine hundred eighty thousand, two hundred forty-nine".