434427477000 has 256 divisors, whose sum is σ = 1479540142080. Its totient is φ = 105251168000.

The previous prime is 434427476963. The next prime is 434427477037. The reversal of 434427477000 is 774724434.

It is an interprime number because it is at equal distance from previous prime (434427476963) and next prime (434427477037).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 74808097 + ... + 74813903.

It is an arithmetic number, because the mean of its divisors is an integer number (5779453680).

Almost surely, 2^434427477000 is an apocalyptic number.

434427477000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434427477000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739770071040).

434427477000 is an abundant number, since it is smaller than the sum of its proper divisors (1045112665080).

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

434427477000 is a wasteful number, since it uses less digits than its factorization.

434427477000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 42.

The spelling of 434427477000 in words is "four hundred thirty-four billion, four hundred twenty-seven million, four hundred seventy-seven thousand".