434960064 has 336 divisors, whose sum is σ = 1626168960. Its totient is φ = 112734720.

The previous prime is 434960059. The next prime is 434960069. The reversal of 434960064 is 460069434.

434960064 is a `hidden beast` number, since 4 + 3 + 49 + 600 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (434960059) and next prime (434960069).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (434960069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931159 + ... + 931625.

Almost surely, 2^434960064 is an apocalyptic number.

434960064 is a gapful number since it is divisible by the number (44) 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 434960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813084480).

434960064 is an abundant number, since it is smaller than the sum of its proper divisors (1191208896).

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

434960064 is a wasteful number, since it uses less digits than its factorization.

434960064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 434960064 is about 20855.6962003190. The cubic root of 434960064 is about 757.6752971424.

The spelling of 434960064 in words is "four hundred thirty-four million, nine hundred sixty thousand, sixty-four".