420577344 has 168 divisors, whose sum is σ = 1348008480. Its totient is φ = 124262400.

The previous prime is 420577321. The next prime is 420577361. The reversal of 420577344 is 443775024.

420577344 is a `hidden beast` number, since 42 + 0 + 577 + 3 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 420577299 and 420577308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258967 + ... + 260585.

It is an arithmetic number, because the mean of its divisors is an integer number (8023860).

Almost surely, 2^420577344 is an apocalyptic number.

420577344 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 420577344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674004240).

420577344 is an abundant number, since it is smaller than the sum of its proper divisors (927431136).

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

420577344 is a wasteful number, since it uses less digits than its factorization.

420577344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 420577344 is about 20507.9824458673. The cubic root of 420577344 is about 749.2302288735.

The spelling of 420577344 in words is "four hundred twenty million, five hundred seventy-seven thousand, three hundred forty-four".