420493792 has 48 divisors (see below), whose sum is σ = 844028640. Its totient is φ = 206180352.

The previous prime is 420493783. The next prime is 420493811. The reversal of 420493792 is 297394024.

It is a super-2 number, since 2×420493792² = 353630058221078528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 371884 + ... + 373012.

It is an arithmetic number, because the mean of its divisors is an integer number (17583930).

Almost surely, 2^420493792 is an apocalyptic number.

It is an amenable number.

420493792 is an abundant number, since it is smaller than the sum of its proper divisors (423534848).

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

420493792 is a wasteful number, since it uses less digits than its factorization.

420493792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 420493792 is about 20505.9452842340. The cubic root of 420493792 is about 749.1806114997.

The spelling of 420493792 in words is "four hundred twenty million, four hundred ninety-three thousand, seven hundred ninety-two".