434981664 has 216 divisors, whose sum is σ = 1393256592. Its totient is φ = 133436160.

The previous prime is 434981641. The next prime is 434981683. The reversal of 434981664 is 466189434.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×434981664³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1313979 + ... + 1314309.

It is an arithmetic number, because the mean of its divisors is an integer number (6450262).

Almost surely, 2^434981664 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 434981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696628296).

434981664 is an abundant number, since it is smaller than the sum of its proper divisors (958274928).

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

434981664 is a wasteful number, since it uses less digits than its factorization.

434981664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 349 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 434981664 is about 20856.2140380271. The cubic root of 434981664 is about 757.6878389187.

The spelling of 434981664 in words is "four hundred thirty-four million, nine hundred eighty-one thousand, six hundred sixty-four".