420727824 has 320 divisors, whose sum is σ = 1414195200. Its totient is φ = 118540800.

The previous prime is 420727823. The next prime is 420727829. The reversal of 420727824 is 428727024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420727823) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5925709 + ... + 5925779.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2^420727824 is an apocalyptic number.

420727824 is a gapful number since it is divisible by the number (44) 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 420727824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707097600).

420727824 is an abundant number, since it is smaller than the sum of its proper divisors (993467376).

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

420727824 is a wasteful number, since it uses less digits than its factorization.

420727824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 420727824 is about 20511.6509330673. The cubic root of 420727824 is about 749.3195748822.

The spelling of 420727824 in words is "four hundred twenty million, seven hundred twenty-seven thousand, eight hundred twenty-four".