434864976 has 160 divisors (see below), whose sum is σ = 1430741760. Its totient is φ = 110702592.

The previous prime is 434864953. The next prime is 434864999. The reversal of 434864976 is 679468434.

It is an interprime number because it is at equal distance from previous prime (434864953) and next prime (434864999).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124956 + ... + 128388.

It is an arithmetic number, because the mean of its divisors is an integer number (8942136).

Almost surely, 2^434864976 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 434864976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715370880).

434864976 is an abundant number, since it is smaller than the sum of its proper divisors (995876784).

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

434864976 is a wasteful number, since it uses less digits than its factorization.

434864976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3487 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 434864976 is about 20853.4164107467. The cubic root of 434864976 is about 757.6200805181.

The spelling of 434864976 in words is "four hundred thirty-four million, eight hundred sixty-four thousand, nine hundred seventy-six".