434930496 has 448 divisors, whose sum is σ = 1616756736. Its totient is φ = 99532800.

The previous prime is 434930479. The next prime is 434930591. The reversal of 434930496 is 694039434.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5957916 + ... + 5957988.

It is an arithmetic number, because the mean of its divisors is an integer number (3608832).

Almost surely, 2^434930496 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 434930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808378368).

434930496 is an abundant number, since it is smaller than the sum of its proper divisors (1181826240).

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

434930496 is a wasteful number, since it uses less digits than its factorization.

434930496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 434930496 is about 20854.9873171863. The cubic root of 434930496 is about 757.6581281709.

It can be divided in two parts, 434 and 930496, that added together give a triangular number (930930 = T₁₃₆₄).

The spelling of 434930496 in words is "four hundred thirty-four million, nine hundred thirty thousand, four hundred ninety-six".