434724048 has 120 divisors (see below), whose sum is σ = 1338295296. Its totient is φ = 130636800.

The previous prime is 434724019. The next prime is 434724053. The reversal of 434724048 is 840427434.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200088 + ... + 202248.

Almost surely, 2^434724048 is an apocalyptic number.

434724048 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 434724048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669147648).

434724048 is an abundant number, since it is smaller than the sum of its proper divisors (903571248).

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

434724048 is a wasteful number, since it uses less digits than its factorization.

434724048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 434724048 is about 20850.0371222691. The cubic root of 434724048 is about 757.5382302700.

The spelling of 434724048 in words is "four hundred thirty-four million, seven hundred twenty-four thousand, forty-eight".