420124672 has 96 divisors (see below), whose sum is σ = 971202960. Its totient is φ = 179568640.

The previous prime is 420124667. The next prime is 420124687. The reversal of 420124672 is 276421024.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 420124672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382428 + ... + 383524.

Almost surely, 2^420124672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485601480).

420124672 is an abundant number, since it is smaller than the sum of its proper divisors (551078288).

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

420124672 is a wasteful number, since it uses less digits than its factorization.

420124672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 420124672 is about 20496.9429915780. The cubic root of 420124672 is about 748.9613308117.

Adding to 420124672 its reverse (276421024), we get a palindrome (696545696).

The spelling of 420124672 in words is "four hundred twenty million, one hundred twenty-four thousand, six hundred seventy-two".