405166080 has 288 divisors, whose sum is σ = 1437836400. Its totient is φ = 97320960.

The previous prime is 405166061. The next prime is 405166159. The reversal of 405166080 is 80661504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3717066 + ... + 3717174.

Almost surely, 2^405166080 is an apocalyptic number.

405166080 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 405166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718918200).

405166080 is an abundant number, since it is smaller than the sum of its proper divisors (1032670320).

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

405166080 is a wasteful number, since it uses less digits than its factorization.

405166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 405166080 is about 20128.7376653381. The cubic root of 405166080 is about 739.9647414416.

The spelling of 405166080 in words is "four hundred five million, one hundred sixty-six thousand, eighty".