406628880 has 160 divisors (see below), whose sum is σ = 1516569600. Its totient is φ = 88045056.

The previous prime is 406628821. The next prime is 406628881. The reversal of 406628880 is 88826604.

It is a super-4 number, since 4×406628880⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (406628881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25551 + ... + 38289.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 2^406628880 is an apocalyptic number.

406628880 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 406628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758284800).

406628880 is an abundant number, since it is smaller than the sum of its proper divisors (1109940720).

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

406628880 is a wasteful number, since it uses less digits than its factorization.

406628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12781 (or 12775 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 406628880 is about 20165.0410364075. The cubic root of 406628880 is about 740.8541877181.

The spelling of 406628880 in words is "four hundred six million, six hundred twenty-eight thousand, eight hundred eighty".