420929520 has 320 divisors, whose sum is σ = 1538901504. Its totient is φ = 94044160.

The previous prime is 420929507. The next prime is 420929521. The reversal of 420929520 is 25929024.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420929521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3724984 + ... + 3725096.

Almost surely, 2^420929520 is an apocalyptic number.

420929520 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 420929520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769450752).

420929520 is an abundant number, since it is smaller than the sum of its proper divisors (1117971984).

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

420929520 is a wasteful number, since it uses less digits than its factorization.

420929520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 420929520 is about 20516.5669642852. The cubic root of 420929520 is about 749.4392964754.

The spelling of 420929520 in words is "four hundred twenty million, nine hundred twenty-nine thousand, five hundred twenty".