420648384 has 112 divisors (see below), whose sum is σ = 1208926208. Its totient is φ = 128314368.

The previous prime is 420648367. The next prime is 420648409. The reversal of 420648384 is 483846024.

It is a super-2 number, since 2×420648384² = 353890125923622912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316329 + ... + 317655.

It is an arithmetic number, because the mean of its divisors is an integer number (10793984).

Almost surely, 2^420648384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604463104).

420648384 is an abundant number, since it is smaller than the sum of its proper divisors (788277824).

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

420648384 is a wasteful number, since it uses less digits than its factorization.

420648384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 420648384 is about 20509.7143812390. The cubic root of 420648384 is about 749.2724108247.

The spelling of 420648384 in words is "four hundred twenty million, six hundred forty-eight thousand, three hundred eighty-four".