420381648 has 30 divisors (see below), whose sum is σ = 1176485154. Its totient is φ = 140127168.

The previous prime is 420381613. The next prime is 420381653. The reversal of 420381648 is 846183024.

420381648 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 8 + 1 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 262828944 + 157552704 = 16212^2 + 12552^2 .

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 5 ways as a sum of consecutive naturals, for example, 1459515 + ... + 1459802.

Almost surely, 2^420381648 is an apocalyptic number.

420381648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420381648 is an abundant number, since it is smaller than the sum of its proper divisors (756103506).

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

420381648 is a wasteful number, since it uses less digits than its factorization.

420381648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919331 (or 2919322 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 420381648 is about 20503.2106754040. The cubic root of 420381648 is about 749.1140044279.

The spelling of 420381648 in words is "four hundred twenty million, three hundred eighty-one thousand, six hundred forty-eight".