280205730 has 336 divisors, whose sum is σ = 966386880. Its totient is φ = 57106944.

The previous prime is 280205729. The next prime is 280205777. The reversal of 280205730 is 37502082.

It is a super-2 number, since 2×280205730² = 157030502249665800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 280205694 and 280205703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14747661 + ... + 14747679.

Almost surely, 2^280205730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280205730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483193440).

280205730 is an abundant number, since it is smaller than the sum of its proper divisors (686181150).

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

280205730 is a wasteful number, since it uses less digits than its factorization.

280205730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 280205730 is about 16739.3467614480. The cubic root of 280205730 is about 654.3734505427.

The spelling of 280205730 in words is "two hundred eighty million, two hundred five thousand, seven hundred thirty".