420526080 has 432 divisors, whose sum is σ = 1636656840. Its totient is φ = 103514112.

The previous prime is 420526079. The next prime is 420526081. The reversal of 420526080 is 80625024.

420526080 is a `hidden beast` number, since 4 + 2 + 0 + 52 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (420526079) and next prime (420526081).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420526081) 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, 32348154 + ... + 32348166.

Almost surely, 2^420526080 is an apocalyptic number.

420526080 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 420526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818328420).

420526080 is an abundant number, since it is smaller than the sum of its proper divisors (1216130760).

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

420526080 is an equidigital number, since it uses as much as digits as its factorization.

420526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 420526080 is about 20506.7325529934. The cubic root of 420526080 is about 749.1997865148.

The spelling of 420526080 in words is "four hundred twenty million, five hundred twenty-six thousand, eighty".