420484640 has 48 divisors (see below), whose sum is σ = 1005395328. Its totient is φ = 166162176.

The previous prime is 420484637. The next prime is 420484657. The reversal of 420484640 is 46484024.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 420484597 and 420484606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2552 + ... + 29111.

It is an arithmetic number, because the mean of its divisors is an integer number (20945736).

Almost surely, 2^420484640 is an apocalyptic number.

420484640 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 420484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502697664).

420484640 is an abundant number, since it is smaller than the sum of its proper divisors (584910688).

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

420484640 is a wasteful number, since it uses less digits than its factorization.

420484640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31761 (or 31753 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 420484640 is about 20505.7221282256. The cubic root of 420484640 is about 749.1751761831.

It can be divided in two parts, 420484 and 640, that added together give a palindrome (421124).

The spelling of 420484640 in words is "four hundred twenty million, four hundred eighty-four thousand, six hundred forty".