405089280 has 264 divisors, whose sum is σ = 1436994000. Its totient is φ = 105480192.

The previous prime is 405089273. The next prime is 405089281. The reversal of 405089280 is 82980504.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405089281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2718646 + ... + 2718794.

Almost surely, 2^405089280 is an apocalyptic number.

405089280 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 405089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718497000).

405089280 is an abundant number, since it is smaller than the sum of its proper divisors (1031904720).

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

405089280 is a wasteful number, since it uses less digits than its factorization.

405089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

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

The square root of 405089280 is about 20126.8298546989. The cubic root of 405089280 is about 739.9179845798.

The spelling of 405089280 in words is "four hundred five million, eighty-nine thousand, two hundred eighty".