280164420 has 144 divisors (see below), whose sum is σ = 933424128. Its totient is φ = 70295040.

The previous prime is 280164383. The next prime is 280164427. The reversal of 280164420 is 24461082.

280164420 is a `hidden beast` number, since 2 + 80 + 164 + 420 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (280164427) 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, 80925 + ... + 84315.

It is an arithmetic number, because the mean of its divisors is an integer number (6482112).

Almost surely, 2^280164420 is an apocalyptic number.

280164420 is a gapful number since it is divisible by the number (20) 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 280164420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466712064).

280164420 is an abundant number, since it is smaller than the sum of its proper divisors (653259708).

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

280164420 is a wasteful number, since it uses less digits than its factorization.

280164420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 280164420 is about 16738.1127968478. The cubic root of 280164420 is about 654.3412914385.

The spelling of 280164420 in words is "two hundred eighty million, one hundred sixty-four thousand, four hundred twenty".