434519064 has 288 divisors, whose sum is σ = 1472515200. Its totient is φ = 115153920.

The previous prime is 434519051. The next prime is 434519101. The reversal of 434519064 is 460915434.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3171604 + ... + 3171740.

It is an arithmetic number, because the mean of its divisors is an integer number (5112900).

Almost surely, 2^434519064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434519064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736257600).

434519064 is an abundant number, since it is smaller than the sum of its proper divisors (1037996136).

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

434519064 is a wasteful number, since it uses less digits than its factorization.

434519064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 434519064 is about 20845.1208679633. The cubic root of 434519064 is about 757.4191450477.

It can be divided in two parts, 4345 and 19064, that added together give a square (23409 = 153²).

The spelling of 434519064 in words is "four hundred thirty-four million, five hundred nineteen thousand, sixty-four".