420263360 has 224 divisors, whose sum is σ = 1185062400. Its totient is φ = 140349440.

The previous prime is 420263309. The next prime is 420263369. The reversal of 420263360 is 63362024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420263369) 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, 2347751 + ... + 2347929.

Almost surely, 2^420263360 is an apocalyptic number.

420263360 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 420263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592531200).

420263360 is an abundant number, since it is smaller than the sum of its proper divisors (764799040).

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

420263360 is a wasteful number, since it uses less digits than its factorization.

420263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 420263360 is about 20500.3258510688. The cubic root of 420263360 is about 749.0437353361.

The spelling of 420263360 in words is "four hundred twenty million, two hundred sixty-three thousand, three hundred sixty".