420436632 has 256 divisors, whose sum is σ = 1393459200. Its totient is φ = 102528000.

The previous prime is 420436613. The next prime is 420436637. The reversal of 420436632 is 236634024.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 420436632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420436637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2348719 + ... + 2348897.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2^420436632 is an apocalyptic number.

420436632 is a gapful number since it is divisible by the number (42) 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 420436632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

420436632 is an abundant number, since it is smaller than the sum of its proper divisors (973022568).

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

420436632 is a wasteful number, since it uses less digits than its factorization.

420436632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 420436632 is about 20504.5514947292. The cubic root of 420436632 is about 749.1466632345.

The spelling of 420436632 in words is "four hundred twenty million, four hundred thirty-six thousand, six hundred thirty-two".