420328258560 has 1584 divisors, whose sum is σ = 1844625129984. Its totient is φ = 89882099712.

The previous prime is 420328258547. The next prime is 420328258619. The reversal of 420328258560 is 65852823024.

420328258560 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 2 + 8 + 2 + 585 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2516935597 + ... + 2516935763.

Almost surely, 2^420328258560 is an apocalyptic number.

420328258560 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 420328258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922312564992).

420328258560 is an abundant number, since it is smaller than the sum of its proper divisors (1424296871424).

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

420328258560 is a wasteful number, since it uses less digits than its factorization.

420328258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 420328258560 in words is "four hundred twenty billion, three hundred twenty-eight million, two hundred fifty-eight thousand, five hundred sixty".