420224640 has 256 divisors, whose sum is σ = 1483194240. Its totient is φ = 100352000.

The previous prime is 420224627. The next prime is 420224657. The reversal of 420224640 is 46422024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420224640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2133022 + ... + 2133218.

Almost surely, 2^420224640 is an apocalyptic number.

420224640 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 420224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741597120).

420224640 is an abundant number, since it is smaller than the sum of its proper divisors (1062969600).

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

420224640 is a wasteful number, since it uses less digits than its factorization.

420224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 420224640 is about 20499.3814540829. The cubic root of 420224640 is about 749.0207308212.

Adding to 420224640 its reverse (46422024), we get a palindrome (466646664).

The spelling of 420224640 in words is "four hundred twenty million, two hundred twenty-four thousand, six hundred forty".