420896538360 has 384 divisors, whose sum is σ = 1450952455680. Its totient is φ = 109694227968.

The previous prime is 420896538343. The next prime is 420896538407. The reversal of 420896538360 is 63835698024.

420896538360 is a `hidden beast` number, since 4 + 20 + 89 + 6 + 538 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 420896538297 and 420896538306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145788837 + ... + 145791723.

It is an arithmetic number, because the mean of its divisors is an integer number (3778522020).

Almost surely, 2^420896538360 is an apocalyptic number.

420896538360 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 420896538360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725476227840).

420896538360 is an abundant number, since it is smaller than the sum of its proper divisors (1030055917320).

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

420896538360 is a wasteful number, since it uses less digits than its factorization.

420896538360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 420896538360 in words is "four hundred twenty billion, eight hundred ninety-six million, five hundred thirty-eight thousand, three hundred sixty".