420829962 has 64 divisors (see below), whose sum is σ = 1008910080. Its totient is φ = 114476544.

The previous prime is 420829909. The next prime is 420829973. The reversal of 420829962 is 269928024.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86548 + ... + 91280.

It is an arithmetic number, because the mean of its divisors is an integer number (15764220).

Almost surely, 2^420829962 is an apocalyptic number.

420829962 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420829962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504455040).

420829962 is an abundant number, since it is smaller than the sum of its proper divisors (588080118).

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

420829962 is a wasteful number, since it uses less digits than its factorization.

420829962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 420829962 is about 20514.1405376877. The cubic root of 420829962 is about 749.3802061708.

The spelling of 420829962 in words is "four hundred twenty million, eight hundred twenty-nine thousand, nine hundred sixty-two".