420906528 has 144 divisors (see below), whose sum is σ = 1374662016. Its totient is φ = 119669760.

The previous prime is 420906523. The next prime is 420906557. The reversal of 420906528 is 825609024.

It is a happy number.

420906528 is a `hidden beast` number, since 42 + 0 + 90 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420906492 and 420906501.

It is not an unprimeable number, because it can be changed into a prime (420906523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566125 + ... + 566867.

It is an arithmetic number, because the mean of its divisors is an integer number (9546264).

Almost surely, 2^420906528 is an apocalyptic number.

420906528 is a gapful number since it is divisible by the number (48) 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 420906528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687331008).

420906528 is an abundant number, since it is smaller than the sum of its proper divisors (953755488).

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

420906528 is a wasteful number, since it uses less digits than its factorization.

420906528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 420906528 is about 20516.0066289714. The cubic root of 420906528 is about 749.4256509432.

The spelling of 420906528 in words is "four hundred twenty million, nine hundred six thousand, five hundred twenty-eight".