420507360 has 288 divisors, whose sum is σ = 1766681280. Its totient is φ = 88694784.

The previous prime is 420507317. The next prime is 420507371. The reversal of 420507360 is 63705024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129436 + ... + 132644.

It is an arithmetic number, because the mean of its divisors is an integer number (6134310).

Almost surely, 2^420507360 is an apocalyptic number.

420507360 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 420507360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883340640).

420507360 is an abundant number, since it is smaller than the sum of its proper divisors (1346173920).

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

420507360 is a wasteful number, since it uses less digits than its factorization.

420507360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 420507360 is about 20506.2761124491. The cubic root of 420507360 is about 749.1886693065.

The spelling of 420507360 in words is "four hundred twenty million, five hundred seven thousand, three hundred sixty".