400506460 has 24 divisors (see below), whose sum is σ = 841440096. Its totient is φ = 160130880.

The previous prime is 400506433. The next prime is 400506473. The reversal of 400506460 is 64605004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82254 + ... + 86986.

It is an arithmetic number, because the mean of its divisors is an integer number (35060004).

Almost surely, 2^400506460 is an apocalyptic number.

It is an amenable number.

400506460 is an abundant number, since it is smaller than the sum of its proper divisors (440933636).

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

400506460 is a wasteful number, since it uses less digits than its factorization.

400506460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8973 (or 8971 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 400506460 is about 20012.6574946957. The cubic root of 400506460 is about 737.1171376746.

The spelling of 400506460 in words is "four hundred million, five hundred six thousand, four hundred sixty".