424053360 has 160 divisors (see below), whose sum is σ = 1472316480. Its totient is φ = 112177152.

The previous prime is 424053319. The next prime is 424053361. The reversal of 424053360 is 63350424.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424053361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295204 + ... + 296636.

It is an arithmetic number, because the mean of its divisors is an integer number (9201978).

Almost surely, 2^424053360 is an apocalyptic number.

424053360 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 424053360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736158240).

424053360 is an abundant number, since it is smaller than the sum of its proper divisors (1048263120).

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

424053360 is a wasteful number, since it uses less digits than its factorization.

424053360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 424053360 is about 20592.5559365514. Note that the first 3 decimals coincide. The cubic root of 424053360 is about 751.2886645235.

It can be divided in two parts, 4240 and 53360, that added together give a square (57600 = 240²).

The spelling of 424053360 in words is "four hundred twenty-four million, fifty-three thousand, three hundred sixty".