400845060 has 144 divisors (see below), whose sum is σ = 1515975552. Its totient is φ = 83289600.

The previous prime is 400845037. The next prime is 400845073. The reversal of 400845060 is 60548004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601 + ... + 28320.

It is an arithmetic number, because the mean of its divisors is an integer number (10527608).

Almost surely, 2^400845060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400845060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757987776).

400845060 is an abundant number, since it is smaller than the sum of its proper divisors (1115130492).

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

400845060 is a wasteful number, since it uses less digits than its factorization.

400845060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28954 (or 28949 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 400845060 is about 20021.1153535461. The cubic root of 400845060 is about 737.3248060349.

The spelling of 400845060 in words is "four hundred million, eight hundred forty-five thousand, sixty".