400416060 has 96 divisors (see below), whose sum is σ = 1246275072. Its totient is φ = 95230720.

The previous prime is 400416001. The next prime is 400416083. The reversal of 400416060 is 60614004.

It is a super-2 number, since 2×400416060² = 320666042211847200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29257 + ... + 40703.

It is an arithmetic number, because the mean of its divisors is an integer number (12982032).

Almost surely, 2^400416060 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 400416060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623137536).

400416060 is an abundant number, since it is smaller than the sum of its proper divisors (845859012).

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

400416060 is a wasteful number, since it uses less digits than its factorization.

400416060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11523 (or 11521 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 400416060 is about 20010.3987966257. The cubic root of 400416060 is about 737.0616742302.

The spelling of 400416060 in words is "four hundred million, four hundred sixteen thousand, sixty".