400220160 has 112 divisors (see below), whose sum is σ = 1281019536. Its totient is φ = 106692608.

The previous prime is 400220131. The next prime is 400220167. The reversal of 400220160 is 61022004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400220167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121252 + ... + 124508.

Almost surely, 2^400220160 is an apocalyptic number.

400220160 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 400220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640509768).

400220160 is an abundant number, since it is smaller than the sum of its proper divisors (880799376).

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

400220160 is an equidigital number, since it uses as much as digits as its factorization.

400220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 400220160 is about 20005.5032428580. The cubic root of 400220160 is about 736.9414543305.

Adding to 400220160 its reverse (61022004), we get a palindrome (461242164).

The spelling of 400220160 in words is "four hundred million, two hundred twenty thousand, one hundred sixty".