400263360 has 336 divisors, whose sum is σ = 1512198144. Its totient is φ = 89413632.

The previous prime is 400263359. The next prime is 400263371. The reversal of 400263360 is 63362004.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400263360.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3151617 + ... + 3151743.

Almost surely, 2^400263360 is an apocalyptic number.

400263360 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 400263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756099072).

400263360 is an abundant number, since it is smaller than the sum of its proper divisors (1111934784).

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

400263360 is a wasteful number, since it uses less digits than its factorization.

400263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 400263360 is about 20006.5829166302. The cubic root of 400263360 is about 736.9679686749.

The spelling of 400263360 in words is "four hundred million, two hundred sixty-three thousand, three hundred sixty".