420642480 has 160 divisors (see below), whose sum is σ = 1349913600. Its totient is φ = 108292096.

The previous prime is 420642473. The next prime is 420642487. The reversal of 420642480 is 84246024.

It is an interprime number because it is at equal distance from previous prime (420642473) and next prime (420642487).

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

It is not an unprimeable number, because it can be changed into a prime (420642487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003711 + ... + 1004129.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2^420642480 is an apocalyptic number.

420642480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

420642480 is an abundant number, since it is smaller than the sum of its proper divisors (929271120).

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

420642480 is a wasteful number, since it uses less digits than its factorization.

420642480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 420642480 is about 20509.5704489392. The cubic root of 420642480 is about 749.2689053435.

It can be divided in two parts, 42064 and 2480, that added together give a palindrome (44544).

The spelling of 420642480 in words is "four hundred twenty million, six hundred forty-two thousand, four hundred eighty".