400675600 has 120 divisors (see below), whose sum is σ = 1072821960. Its totient is φ = 142786560.

The previous prime is 400675577. The next prime is 400675603. The reversal of 400675600 is 6576004.

It can be written as a sum of positive squares in 12 ways, for example, as 143137296 + 257538304 = 11964^2 + 16048^2 .

It is not an unprimeable number, because it can be changed into a prime (400675603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149472 + ... + 152128.

It is an arithmetic number, because the mean of its divisors is an integer number (8940183).

Almost surely, 2^400675600 is an apocalyptic number.

400675600 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 400675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536410980).

400675600 is an abundant number, since it is smaller than the sum of its proper divisors (672146360).

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

400675600 is a wasteful number, since it uses less digits than its factorization.

400675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 400675600 is about 20016.8828742140. The cubic root of 400675600 is about 737.2208883490.

The spelling of 400675600 in words is "four hundred million, six hundred seventy-five thousand, six hundred".