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423409680 = 24345192181
BaseRepresentation
bin11001001111001…
…011100000010000
31002111201102220000
4121033023200100
51331343102210
6110003050000
713330631361
oct3117134020
91074642800
10423409680
111a8004a61
12b9970900
1369949995
1440339b68
1527289ac0
hex193cb810

423409680 has 300 divisors, whose sum is σ = 1560611052. Its totient is φ = 106375680.

The previous prime is 423409673. The next prime is 423409681. The reversal of 423409680 is 86904324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 366799104 = 7524^2 + 19152^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423409681) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2339190 + ... + 2339370.

Almost surely, 2423409680 is an apocalyptic number.

423409680 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 423409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780305526).

423409680 is an abundant number, since it is smaller than the sum of its proper divisors (1137201372).

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

423409680 is a wasteful number, since it uses less digits than its factorization.

423409680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

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

The square root of 423409680 is about 20576.9210524801. The cubic root of 423409680 is about 750.9083394485.

The spelling of 423409680 in words is "four hundred twenty-three million, four hundred nine thousand, six hundred eighty".