434013888 has 224 divisors, whose sum is σ = 1479426048. Its totient is φ = 108979200.

The previous prime is 434013883. The next prime is 434013907. The reversal of 434013888 is 888310434.

It is a Cunningham number, because it is equal to 20833²-1.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (434013883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457831 + ... + 458777.

Almost surely, 2^434013888 is an apocalyptic number.

434013888 is a gapful number since it is divisible by the number (48) 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 434013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739713024).

434013888 is an abundant number, since it is smaller than the sum of its proper divisors (1045412160).

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

434013888 is a wasteful number, since it uses less digits than its factorization.

434013888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 434013888 is about 20832.9999759996. Note that the first 4 decimals coincide. The cubic root of 434013888 is about 757.1255036522.

The spelling of 434013888 in words is "four hundred thirty-four million, thirteen thousand, eight hundred eighty-eight".