434820960 has 240 divisors, whose sum is σ = 1754143776. Its totient is φ = 99366912.

The previous prime is 434820931. The next prime is 434821001. The reversal of 434820960 is 69028434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 88324 + ... + 93116.

Almost surely, 2^434820960 is an apocalyptic number.

434820960 is a gapful number since it is divisible by the number (40) 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 434820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877071888).

434820960 is an abundant number, since it is smaller than the sum of its proper divisors (1319322816).

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

434820960 is a wasteful number, since it uses less digits than its factorization.

434820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 434820960 is about 20852.3610174004. The cubic root of 434820960 is about 757.5945181539.

The spelling of 434820960 in words is "four hundred thirty-four million, eight hundred twenty thousand, nine hundred sixty".