1024400160 has 144 divisors (see below), whose sum is σ = 3995199936. Its totient is φ = 234146304.

The previous prime is 1024400159. The next prime is 1024400171. The reversal of 1024400160 is 610044201.

1024400160 is a `hidden beast` number, since 102 + 4 + 400 + 160 = 666.

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

It is a super-3 number, since 3×1024400160³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 40734 + ... + 60893.

It is an arithmetic number, because the mean of its divisors is an integer number (27744444).

Almost surely, 2^1024400160 is an apocalyptic number.

1024400160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024400160 is an abundant number, since it is smaller than the sum of its proper divisors (2970799776).

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

1024400160 is a wasteful number, since it uses less digits than its factorization.

1024400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101655 (or 101644 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1024400160 is about 32006.2518892794. The cubic root of 1024400160 is about 1008.0681170899.

Adding to 1024400160 its reverse (610044201), we get a palindrome (1634444361).

The spelling of 1024400160 in words is "one billion, twenty-four million, four hundred thousand, one hundred sixty".