420687360 has 360 divisors, whose sum is σ = 1584708840. Its totient is φ = 102850560.

The previous prime is 420687331. The next prime is 420687367. The reversal of 420687360 is 63786024.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-4 number, since 4×420687360⁴ (a number of 36 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420687367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13570545 + ... + 13570575.

It is an arithmetic number, because the mean of its divisors is an integer number (4401969).

Almost surely, 2^420687360 is an apocalyptic number.

420687360 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 420687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792354420).

420687360 is an abundant number, since it is smaller than the sum of its proper divisors (1164021480).

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

420687360 is a wasteful number, since it uses less digits than its factorization.

420687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 420687360 is about 20510.6645431102. The cubic root of 420687360 is about 749.2955518776.

The spelling of 420687360 in words is "four hundred twenty million, six hundred eighty-seven thousand, three hundred sixty".