420192840 has 32 divisors (see below), whose sum is σ = 1260578880. Its totient is φ = 112051392.

The previous prime is 420192833. The next prime is 420192841. The reversal of 420192840 is 48291024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 420192798 and 420192807.

It is not an unprimeable number, because it can be changed into a prime (420192841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1750684 + ... + 1750923.

It is an arithmetic number, because the mean of its divisors is an integer number (39393090).

Almost surely, 2^420192840 is an apocalyptic number.

420192840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420192840 is an abundant number, since it is smaller than the sum of its proper divisors (840386040).

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

420192840 is a wasteful number, since it uses less digits than its factorization.

420192840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501621 (or 3501617 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 420192840 is about 20498.6058062494. The cubic root of 420192840 is about 749.0018365935.

The spelling of 420192840 in words is "four hundred twenty million, one hundred ninety-two thousand, eight hundred forty".