423767520 has 288 divisors, whose sum is σ = 1630347264. Its totient is φ = 99302400.

The previous prime is 423767503. The next prime is 423767527. The reversal of 423767520 is 25767324.

It is a happy number.

423767520 is a `hidden beast` number, since 42 + 37 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×423767520² = 359157822013900800, which contains 22 as substring.

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 (423767527) 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, 490609 + ... + 491471.

It is an arithmetic number, because the mean of its divisors is an integer number (5660928).

Almost surely, 2^423767520 is an apocalyptic number.

423767520 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 423767520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815173632).

423767520 is an abundant number, since it is smaller than the sum of its proper divisors (1206579744).

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

423767520 is a wasteful number, since it uses less digits than its factorization.

423767520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 423767520 is about 20585.6143945232. The cubic root of 423767520 is about 751.1198205039.

The spelling of 423767520 in words is "four hundred twenty-three million, seven hundred sixty-seven thousand, five hundred twenty".