424028160 has 288 divisors, whose sum is σ = 1517836320. Its totient is φ = 109412352.

The previous prime is 424028153. The next prime is 424028167. The reversal of 424028160 is 61820424.

It is an interprime number because it is at equal distance from previous prime (424028153) and next prime (424028167).

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

It is not an unprimeable number, because it can be changed into a prime (424028167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3962827 + ... + 3962933.

It is an arithmetic number, because the mean of its divisors is an integer number (5270265).

Almost surely, 2^424028160 is an apocalyptic number.

424028160 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 424028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758918160).

424028160 is an abundant number, since it is smaller than the sum of its proper divisors (1093808160).

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

424028160 is a wasteful number, since it uses less digits than its factorization.

424028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 424028160 is about 20591.9440558681. The cubic root of 424028160 is about 751.2737820809.

Adding to 424028160 its reverse (61820424), we get a palindrome (485848584).

It can be divided in two parts, 4240 and 28160, that added together give a square (32400 = 180²).

The spelling of 424028160 in words is "four hundred twenty-four million, twenty-eight thousand, one hundred sixty".