420077280 has 384 divisors, whose sum is σ = 1617960960. Its totient is φ = 89579520.

The previous prime is 420077279. The next prime is 420077291. The reversal of 420077280 is 82770024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3853866 + ... + 3853974.

It is an arithmetic number, because the mean of its divisors is an integer number (4213440).

Almost surely, 2^420077280 is an apocalyptic number.

420077280 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 420077280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808980480).

420077280 is an abundant number, since it is smaller than the sum of its proper divisors (1197883680).

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

420077280 is a wasteful number, since it uses less digits than its factorization.

420077280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 420077280 is about 20495.7868841379. The cubic root of 420077280 is about 748.9331676556.

The spelling of 420077280 in words is "four hundred twenty million, seventy-seven thousand, two hundred eighty".