420531072 has 128 divisors (see below), whose sum is σ = 1223567520. Its totient is φ = 127180800.

The previous prime is 420531071. The next prime is 420531073. The reversal of 420531072 is 270135024.

It is an interprime number because it is at equal distance from previous prime (420531071) and next prime (420531073).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420531071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303822 + ... + 305202.

Almost surely, 2^420531072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611783760).

420531072 is an abundant number, since it is smaller than the sum of its proper divisors (803036448).

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

420531072 is a wasteful number, since it uses less digits than its factorization.

420531072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 420531072 is about 20506.8542687561. The cubic root of 420531072 is about 749.2027510480.

Adding to 420531072 its reverse (270135024), we get a palindrome (690666096).

The spelling of 420531072 in words is "four hundred twenty million, five hundred thirty-one thousand, seventy-two".