420093648 has 320 divisors, whose sum is σ = 1422131200. Its totient is φ = 117573120.

The previous prime is 420093599. The next prime is 420093673. The reversal of 420093648 is 846390024.

It is a happy number.

420093648 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 9 + 3 + 648 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3307761 + ... + 3307887.

It is an arithmetic number, because the mean of its divisors is an integer number (4444160).

Almost surely, 2^420093648 is an apocalyptic number.

420093648 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 420093648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711065600).

420093648 is an abundant number, since it is smaller than the sum of its proper divisors (1002037552).

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

420093648 is a wasteful number, since it uses less digits than its factorization.

420093648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 420093648 is about 20496.1861818242. The cubic root of 420093648 is about 748.9428947380.

The spelling of 420093648 in words is "four hundred twenty million, ninety-three thousand, six hundred forty-eight".