400066560 has 192 divisors, whose sum is σ = 1423094400. Its totient is φ = 106610688.

The previous prime is 400066553. The next prime is 400066591. The reversal of 400066560 is 65660004.

400066560 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 6 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275757 + ... + 277203.

It is an arithmetic number, because the mean of its divisors is an integer number (7411950).

Almost surely, 2^400066560 is an apocalyptic number.

400066560 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 400066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711547200).

400066560 is an abundant number, since it is smaller than the sum of its proper divisors (1023027840).

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

400066560 is a wasteful number, since it uses less digits than its factorization.

400066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 400066560 is about 20001.6639307834. The cubic root of 400066560 is about 736.8471656509.

The spelling of 400066560 in words is "four hundred million, sixty-six thousand, five hundred sixty".