434768796900 has 243 divisors, whose sum is σ = 1410125548923. Its totient is φ = 112040150400.

The previous prime is 434768796893. The next prime is 434768796919. The reversal of 434768796900 is 9697867434.

The square root of 434768796900 is 659370.

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

434768796900 is a `hidden beast` number, since 4 + 3 + 476 + 8 + 79 + 6 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120074724324 + 314694072576 = 346518^2 + 560976^2 .

It is a super-2 number, since 2×434768796900² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 613213746 + ... + 613214454.

Almost surely, 2^434768796900 is an apocalyptic number.

434768796900 is the 659370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434768796900

434768796900 is an abundant number, since it is smaller than the sum of its proper divisors (975356752023).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434768796900 is a wasteful number, since it uses less digits than its factorization.

434768796900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 434768796900 in words is "four hundred thirty-four billion, seven hundred sixty-eight million, seven hundred ninety-six thousand, nine hundred".