420401520 has 240 divisors, whose sum is σ = 1760458752. Its totient is φ = 87344640.

The previous prime is 420401519. The next prime is 420401533. The reversal of 420401520 is 25104024.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420401493 and 420401502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51649 + ... + 59231.

Almost surely, 2^420401520 is an apocalyptic number.

420401520 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 420401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880229376).

420401520 is an abundant number, since it is smaller than the sum of its proper divisors (1340057232).

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

420401520 is a wasteful number, since it uses less digits than its factorization.

420401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 420401520 is about 20503.6952767056. The cubic root of 420401520 is about 749.1258081140.

Adding to 420401520 its reverse (25104024), we get a palindrome (445505544).

The spelling of 420401520 in words is "four hundred twenty million, four hundred one thousand, five hundred twenty".