406549080 has 288 divisors, whose sum is σ = 1619233200. Its totient is φ = 87962112.

The previous prime is 406549043. The next prime is 406549093. The reversal of 406549080 is 80945604.

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 71 ways as a sum of consecutive naturals, for example, 334554 + ... + 335766.

Almost surely, 2^406549080 is an apocalyptic number.

406549080 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 406549080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809616600).

406549080 is an abundant number, since it is smaller than the sum of its proper divisors (1212684120).

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

406549080 is a wasteful number, since it uses less digits than its factorization.

406549080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 406549080 is about 20163.0622674236. The cubic root of 406549080 is about 740.8057208934.

The spelling of 406549080 in words is "four hundred six million, five hundred forty-nine thousand, eighty".