424351872 has 192 divisors, whose sum is σ = 1447992000. Its totient is φ = 121181184.

The previous prime is 424351813. The next prime is 424351891. The reversal of 424351872 is 278153424.

It is a happy number.

424351872 is a `hidden beast` number, since 42 + 435 + 187 + 2 = 666.

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

It is a super-2 number, since 2×424351872² = 360149022539808768, which contains 22 as substring.

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, 216754 + ... + 218702.

It is an arithmetic number, because the mean of its divisors is an integer number (7541625).

Almost surely, 2^424351872 is an apocalyptic number.

424351872 is a gapful number since it is divisible by the number (42) 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 424351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723996000).

424351872 is an abundant number, since it is smaller than the sum of its proper divisors (1023640128).

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

424351872 is an equidigital number, since it uses as much as digits as its factorization.

424351872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1961 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 424351872 is about 20599.8027175019. The cubic root of 424351872 is about 751.4649128442.

The spelling of 424351872 in words is "four hundred twenty-four million, three hundred fifty-one thousand, eight hundred seventy-two".