434609952 has 96 divisors (see below), whose sum is σ = 1372492800. Its totient is φ = 117635328.

The previous prime is 434609941. The next prime is 434609983. The reversal of 434609952 is 259906434.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4252 + ... + 29787.

It is an arithmetic number, because the mean of its divisors is an integer number (14296800).

Almost surely, 2^434609952 is an apocalyptic number.

434609952 is a gapful number since it is divisible by the number (42) 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 434609952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686246400).

434609952 is an abundant number, since it is smaller than the sum of its proper divisors (937882848).

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

434609952 is a wasteful number, since it uses less digits than its factorization.

434609952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34078 (or 34070 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 434609952 is about 20847.3008324819. The cubic root of 434609952 is about 757.4719509487.

The spelling of 434609952 in words is "four hundred thirty-four million, six hundred nine thousand, nine hundred fifty-two".