434960640 has 216 divisors, whose sum is σ = 1594160568. Its totient is φ = 109117440.

The previous prime is 434960639. The next prime is 434960689. The reversal of 434960640 is 46069434.

434960640 is a `hidden beast` number, since 4 + 3 + 4 + 9 + 6 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 122943744 + 312016896 = 11088^2 + 17664^2 .

It is a super-3 number, since 3×434960640³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 434960595 and 434960604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194730 + ... + 196950.

It is an arithmetic number, because the mean of its divisors is an integer number (7380373).

Almost surely, 2^434960640 is an apocalyptic number.

434960640 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 434960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797080284).

434960640 is an abundant number, since it is smaller than the sum of its proper divisors (1159199928).

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

434960640 is a wasteful number, since it uses less digits than its factorization.

434960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2248 counting only the distinct ones).

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

The square root of 434960640 is about 20855.7100094914. The cubic root of 434960640 is about 757.6756315952.

It can be divided in two parts, 434960 and 640, that added together give a square (435600 = 660²).

The spelling of 434960640 in words is "four hundred thirty-four million, nine hundred sixty thousand, six hundred forty".