434669004 has 360 divisors, whose sum is σ = 1529478720. Its totient is φ = 106142400.

The previous prime is 434668991. The next prime is 434669009. The reversal of 434669004 is 400966434.

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

It is a self number, because there is not a number n which added to its sum of digits gives 434669004.

It is not an unprimeable number, because it can be changed into a prime (434669009) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3318019 + ... + 3318149.

It is an arithmetic number, because the mean of its divisors is an integer number (4248552).

Almost surely, 2^434669004 is an apocalyptic number.

434669004 is a gapful number since it is divisible by the number (44) 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 434669004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764739360).

434669004 is an abundant number, since it is smaller than the sum of its proper divisors (1094809716).

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

434669004 is a wasteful number, since it uses less digits than its factorization.

434669004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 434669004 is about 20848.7170828327. The cubic root of 434669004 is about 757.5062561977.

The spelling of 434669004 in words is "four hundred thirty-four million, six hundred sixty-nine thousand, four".