405980280 has 192 divisors, whose sum is σ = 1403157600. Its totient is φ = 101606400.

The previous prime is 405980279. The next prime is 405980293. The reversal of 405980280 is 82089504.

405980280 is a `hidden beast` number, since 40 + 598 + 0 + 28 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385755 + ... + 386805.

Almost surely, 2^405980280 is an apocalyptic number.

405980280 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 405980280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701578800).

405980280 is an abundant number, since it is smaller than the sum of its proper divisors (997177320).

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

405980280 is a wasteful number, since it uses less digits than its factorization.

405980280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 405980280 is about 20148.9523300841. The cubic root of 405980280 is about 740.4600742628.

The spelling of 405980280 in words is "four hundred five million, nine hundred eighty thousand, two hundred eighty".