420654528 has 378 divisors, whose sum is σ = 1544900136. Its totient is φ = 107163648.

The previous prime is 420654499. The next prime is 420654569. The reversal of 420654528 is 825456024.

It is a happy number.

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 = 420654492 and 420654501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22139703 + ... + 22139721.

Almost surely, 2^420654528 is an apocalyptic number.

420654528 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 420654528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772450068).

420654528 is an abundant number, since it is smaller than the sum of its proper divisors (1124245608).

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

420654528 is a wasteful number, since it uses less digits than its factorization.

420654528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 420654528 is about 20509.8641633727. The cubic root of 420654528 is about 749.2760587703.

The spelling of 420654528 in words is "four hundred twenty million, six hundred fifty-four thousand, five hundred twenty-eight".