420499080 has 256 divisors, whose sum is σ = 1526688000. Its totient is φ = 102518784.

The previous prime is 420499049. The next prime is 420499081. The reversal of 420499080 is 80994024.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (420499081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679011 + ... + 679629.

It is an arithmetic number, because the mean of its divisors is an integer number (5963625).

Almost surely, 2^420499080 is an apocalyptic number.

420499080 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 420499080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344000).

420499080 is an abundant number, since it is smaller than the sum of its proper divisors (1106188920).

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

420499080 is a wasteful number, since it uses less digits than its factorization.

420499080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 420499080 is about 20506.0742220446. The cubic root of 420499080 is about 749.1837519745.

It can be divided in two parts, 420 and 499080, that added together give a triangular number (499500 = T₉₉₉).

The spelling of 420499080 in words is "four hundred twenty million, four hundred ninety-nine thousand, eighty".