420540792 has 64 divisors (see below), whose sum is σ = 1240320000. Its totient is φ = 116277120.

The previous prime is 420540767. The next prime is 420540797. The reversal of 420540792 is 297045024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420540797) by changing a digit.

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, 35167 + ... + 45582.

It is an arithmetic number, because the mean of its divisors is an integer number (19380000).

Almost surely, 2^420540792 is an apocalyptic number.

420540792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420540792 is an abundant number, since it is smaller than the sum of its proper divisors (819779208).

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

420540792 is a wasteful number, since it uses less digits than its factorization.

420540792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80796 (or 80792 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 420540792 is about 20507.0912613174. The cubic root of 420540792 is about 749.2085232688.

The spelling of 420540792 in words is "four hundred twenty million, five hundred forty thousand, seven hundred ninety-two".