420534072 has 96 divisors (see below), whose sum is σ = 1358902800. Its totient is φ = 120149568.

The previous prime is 420534053. The next prime is 420534073. The reversal of 420534072 is 270435024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420534073) 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 23 ways as a sum of consecutive naturals, for example, 9283 + ... + 30450.

Almost surely, 2^420534072 is an apocalyptic number.

420534072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420534072 is an abundant number, since it is smaller than the sum of its proper divisors (938368728).

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

420534072 is a wasteful number, since it uses less digits than its factorization.

420534072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39762 (or 39745 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 420534072 is about 20506.9274149006. The cubic root of 420534072 is about 749.2045326071.

Adding to 420534072 its reverse (270435024), we get a palindrome (690969096).

The spelling of 420534072 in words is "four hundred twenty million, five hundred thirty-four thousand, seventy-two".