420078960 has 400 divisors, whose sum is σ = 1708834080. Its totient is φ = 96018048.

The previous prime is 420078947. The next prime is 420078979. The reversal of 420078960 is 69870024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 60011277 + ... + 60011283.

Almost surely, 2^420078960 is an apocalyptic number.

420078960 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 420078960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854417040).

420078960 is an abundant number, since it is smaller than the sum of its proper divisors (1288755120).

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

420078960 is an frugal number, since it uses more digits than its factorization.

420078960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 420078960 is about 20495.8278681297. The cubic root of 420078960 is about 748.9341660482.

The spelling of 420078960 in words is "four hundred twenty million, seventy-eight thousand, nine hundred sixty".