420985376 has 96 divisors (see below), whose sum is σ = 1013015808. Its totient is φ = 168284160.

The previous prime is 420985361. The next prime is 420985387. The reversal of 420985376 is 673589024.

It is a super-2 number, since 2×420985376² = 354457373611722752, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 210236 + ... + 212228.

It is an arithmetic number, because the mean of its divisors is an integer number (10552248).

Almost surely, 2^420985376 is an apocalyptic number.

420985376 is a gapful number since it is divisible by the number (46) 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 420985376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506507904).

420985376 is an abundant number, since it is smaller than the sum of its proper divisors (592030432).

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

420985376 is a wasteful number, since it uses less digits than its factorization.

420985376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 420985376 is about 20517.9281605137. The cubic root of 420985376 is about 749.4724444079.

It can be divided in two parts, 42098 and 5376, that added together give a palindrome (47474).

The spelling of 420985376 in words is "four hundred twenty million, nine hundred eighty-five thousand, three hundred seventy-six".