424748160 has 192 divisors, whose sum is σ = 1507105080. Its totient is φ = 110149632.

The previous prime is 424748147. The next prime is 424748183. The reversal of 424748160 is 61847424.

424748160 is a `hidden beast` number, since 424 + 74 + 8 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419102784 + 5645376 = 20472^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212124 + ... + 214116.

Almost surely, 2^424748160 is an apocalyptic number.

424748160 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 424748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753552540).

424748160 is an abundant number, since it is smaller than the sum of its proper divisors (1082356920).

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

424748160 is a wasteful number, since it uses less digits than its factorization.

424748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 424748160 is about 20609.4192057903. The cubic root of 424748160 is about 751.6987627020.

The spelling of 424748160 in words is "four hundred twenty-four million, seven hundred forty-eight thousand, one hundred sixty".