400705360 has 80 divisors (see below), whose sum is σ = 1020559680. Its totient is φ = 145105920.

The previous prime is 400705343. The next prime is 400705363. The reversal of 400705360 is 63507004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400705363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248236 + ... + 249844.

It is an arithmetic number, because the mean of its divisors is an integer number (12756996).

Almost surely, 2^400705360 is an apocalyptic number.

400705360 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 400705360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510279840).

400705360 is an abundant number, since it is smaller than the sum of its proper divisors (619854320).

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

400705360 is a wasteful number, since it uses less digits than its factorization.

400705360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 400705360 is about 20017.6262328978. The cubic root of 400705360 is about 737.2391401471.

The spelling of 400705360 in words is "four hundred million, seven hundred five thousand, three hundred sixty".