401124480 has 128 divisors (see below), whose sum is σ = 1300622400. Its totient is φ = 105123840.

The previous prime is 401124467. The next prime is 401124533. The reversal of 401124480 is 84421104.

It is a tau number, because it is divible by the number of its divisors (128).

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 401124480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111510 + ... + 115050.

Almost surely, 2^401124480 is an apocalyptic number.

401124480 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 401124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650311200).

401124480 is an abundant number, since it is smaller than the sum of its proper divisors (899497920).

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

401124480 is a wasteful number, since it uses less digits than its factorization.

401124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 401124480 is about 20028.0922706083. The cubic root of 401124480 is about 737.4960903748.

Adding to 401124480 its reverse (84421104), we get a palindrome (485545584).

The spelling of 401124480 in words is "four hundred one million, one hundred twenty-four thousand, four hundred eighty".