400605732 has 72 divisors (see below), whose sum is σ = 1035379800. Its totient is φ = 130572288.

The previous prime is 400605703. The next prime is 400605767. The reversal of 400605732 is 237506004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52186176 + 348419556 = 7224^2 + 18666^2 .

It is a super-2 number, since 2×400605732² = 320969905022511648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400605696 and 400605705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310144 + ... + 311432.

It is an arithmetic number, because the mean of its divisors is an integer number (14380275).

Almost surely, 2^400605732 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 400605732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517689900).

400605732 is an abundant number, since it is smaller than the sum of its proper divisors (634774068).

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

400605732 is a wasteful number, since it uses less digits than its factorization.

400605732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 400605732 is about 20015.1375713483. The cubic root of 400605732 is about 737.1780347760.

The spelling of 400605732 in words is "four hundred million, six hundred five thousand, seven hundred thirty-two".