400460608 has 56 divisors (see below), whose sum is σ = 820281824. Its totient is φ = 193881600.

The previous prime is 400460603. The next prime is 400460611. The reversal of 400460608 is 806064004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400460603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260803 + ... + 262333.

Almost surely, 2^400460608 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 400460608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410140912).

400460608 is an abundant number, since it is smaller than the sum of its proper divisors (419821216).

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

400460608 is a wasteful number, since it uses less digits than its factorization.

400460608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 400460608 is about 20011.5118869115. The cubic root of 400460608 is about 737.0890069716.

The spelling of 400460608 in words is "four hundred million, four hundred sixty thousand, six hundred eight".