420743376 has 80 divisors (see below), whose sum is σ = 1219773120. Its totient is φ = 138844800.

The previous prime is 420743371. The next prime is 420743437. The reversal of 420743376 is 673347024.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420743376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420743371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38811 + ... + 48453.

It is an arithmetic number, because the mean of its divisors is an integer number (15247164).

Almost surely, 2^420743376 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 420743376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609886560).

420743376 is an abundant number, since it is smaller than the sum of its proper divisors (799029744).

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

420743376 is a wasteful number, since it uses less digits than its factorization.

420743376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9761 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 420743376 is about 20512.0300311793. The cubic root of 420743376 is about 749.3288075134.

The spelling of 420743376 in words is "four hundred twenty million, seven hundred forty-three thousand, three hundred seventy-six".