420054784 has 72 divisors (see below), whose sum is σ = 876450848. Its totient is φ = 200724480.

The previous prime is 420054757. The next prime is 420054809. The reversal of 420054784 is 487450024.

It is a happy number.

It is a super-2 number, since 2×420054784² = 352892043122573312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577429 + ... + 578155.

Almost surely, 2^420054784 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 420054784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438225424).

420054784 is an abundant number, since it is smaller than the sum of its proper divisors (456396064).

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

420054784 is an equidigital number, since it uses as much as digits as its factorization.

420054784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 420054784 is about 20495.2380810763. The cubic root of 420054784 is about 748.9197984479.

The spelling of 420054784 in words is "four hundred twenty million, fifty-four thousand, seven hundred eighty-four".