406345488 has 80 divisors (see below), whose sum is σ = 1076020416. Its totient is φ = 132088320.

The previous prime is 406345487. The next prime is 406345519. The reversal of 406345488 is 884543604.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (406345483) 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 15 ways as a sum of consecutive naturals, for example, 536406 + ... + 537162.

Almost surely, 2^406345488 is an apocalyptic number.

406345488 is a gapful number since it is divisible by the number (48) 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 406345488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538010208).

406345488 is an abundant number, since it is smaller than the sum of its proper divisors (669674928).

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

406345488 is a wasteful number, since it uses less digits than its factorization.

406345488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 406345488 is about 20158.0129973170. The cubic root of 406345488 is about 740.6820398021.

The spelling of 406345488 in words is "four hundred six million, three hundred forty-five thousand, four hundred eighty-eight".