400275360 has 144 divisors (see below), whose sum is σ = 1372951944. Its totient is φ = 106192896.

The previous prime is 400275341. The next prime is 400275373. The reversal of 400275360 is 63572004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 266734224 + 133541136 = 16332^2 + 11556^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 334924 + ... + 336116.

Almost surely, 2^400275360 is an apocalyptic number.

400275360 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 400275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686475972).

400275360 is an abundant number, since it is smaller than the sum of its proper divisors (972676584).

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

400275360 is a wasteful number, since it uses less digits than its factorization.

400275360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1436 counting only the distinct ones).

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

The square root of 400275360 is about 20006.8828156712. The cubic root of 400275360 is about 736.9753334320.

The spelling of 400275360 in words is "four hundred million, two hundred seventy-five thousand, three hundred sixty".