434850048 has 108 divisors (see below), whose sum is σ = 1287918268. Its totient is φ = 141004800.

The previous prime is 434850047. The next prime is 434850071. The reversal of 434850048 is 840058434.

It can be written as a sum of positive squares in 2 ways, for example, as 150994944 + 283855104 = 12288^2 + 16848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434849994 and 434850021.

It is not an unprimeable number, because it can be changed into a prime (434850043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82698 + ... + 87798.

Almost surely, 2^434850048 is an apocalyptic number.

434850048 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 434850048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643959134).

434850048 is an abundant number, since it is smaller than the sum of its proper divisors (853068220).

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

434850048 is a wasteful number, since it uses less digits than its factorization.

434850048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 434850048 is about 20853.0584807121. The cubic root of 434850048 is about 757.6114112509.

The spelling of 434850048 in words is "four hundred thirty-four million, eight hundred fifty thousand, forty-eight".