424271520 has 240 divisors, whose sum is σ = 1577046240. Its totient is φ = 107122176.

The previous prime is 424271509. The next prime is 424271521. The reversal of 424271520 is 25172424.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×424271520² = 360012645366220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (424271521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245379 + ... + 247101.

It is an arithmetic number, because the mean of its divisors is an integer number (6571026).

Almost surely, 2^424271520 is an apocalyptic number.

424271520 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 424271520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788523120).

424271520 is an abundant number, since it is smaller than the sum of its proper divisors (1152774720).

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

424271520 is a wasteful number, since it uses less digits than its factorization.

424271520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 424271520 is about 20597.8523152294. The cubic root of 424271520 is about 751.4174793154.

The spelling of 424271520 in words is "four hundred twenty-four million, two hundred seventy-one thousand, five hundred twenty".