420400080 has 240 divisors, whose sum is σ = 1508832000. Its totient is φ = 104592384.

The previous prime is 420400067. The next prime is 420400087. The reversal of 420400080 is 80004024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420400087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080526 + ... + 1080914.

It is an arithmetic number, because the mean of its divisors is an integer number (6286800).

Almost surely, 2^420400080 is an apocalyptic number.

420400080 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 420400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754416000).

420400080 is an abundant number, since it is smaller than the sum of its proper divisors (1088431920).

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

420400080 is a wasteful number, since it uses less digits than its factorization.

420400080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 420400080 is about 20503.6601610542. The cubic root of 420400080 is about 749.1249527869.

The spelling of 420400080 in words is "four hundred twenty million, four hundred thousand, eighty".