420938784 has 72 divisors (see below), whose sum is σ = 1368057600. Its totient is φ = 120267648.

The previous prime is 420938783. The next prime is 420938807. The reversal of 420938784 is 487839024.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (420938783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102384 + ... + 106415.

It is an arithmetic number, because the mean of its divisors is an integer number (19000800).

Almost surely, 2^420938784 is an apocalyptic number.

It is an amenable number.

420938784 is an abundant number, since it is smaller than the sum of its proper divisors (947118816).

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

420938784 is a wasteful number, since it uses less digits than its factorization.

420938784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208822 (or 208811 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 420938784 is about 20516.7927318087. The cubic root of 420938784 is about 749.4447944305. Note that the first 3 decimals are identical.

The spelling of 420938784 in words is "four hundred twenty million, nine hundred thirty-eight thousand, seven hundred eighty-four".