400013600 has 144 divisors (see below), whose sum is σ = 1135302336. Its totient is φ = 134784000.

The previous prime is 400013591. The next prime is 400013633. The reversal of 400013600 is 6310004.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 341015 + ... + 342185.

It is an arithmetic number, because the mean of its divisors is an integer number (7884044).

Almost surely, 2^400013600 is an apocalyptic number.

400013600 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 400013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567651168).

400013600 is an abundant number, since it is smaller than the sum of its proper divisors (735288736).

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

400013600 is a wasteful number, since it uses less digits than its factorization.

400013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 400013600 is about 20000.3399971100. The cubic root of 400013600 is about 736.8146501048.

Adding to 400013600 its reverse (6310004), we get a palindrome (406323604).

The spelling of 400013600 in words is "four hundred million, thirteen thousand, six hundred".