423959760 has 360 divisors, whose sum is σ = 1691951976. Its totient is φ = 94832640.

The previous prime is 423959677. The next prime is 423959771. The reversal of 423959760 is 67959324.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47444544 + 376515216 = 6888^2 + 19404^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2151982 + ... + 2152178.

Almost surely, 2^423959760 is an apocalyptic number.

423959760 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 423959760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845975988).

423959760 is an abundant number, since it is smaller than the sum of its proper divisors (1267992216).

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

423959760 is a wasteful number, since it uses less digits than its factorization.

423959760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 423959760 is about 20590.2831452120. The cubic root of 423959760 is about 751.2333839070.

The spelling of 423959760 in words is "four hundred twenty-three million, nine hundred fifty-nine thousand, seven hundred sixty".