401134560 has 96 divisors (see below), whose sum is σ = 1266360480. Its totient is φ = 106733568.

The previous prime is 401134549. The next prime is 401134577. The reversal of 401134560 is 65431104.

It is a tau number, because it is divible by the number of its divisors (96).

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 401134560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387804 + ... + 388836.

It is an arithmetic number, because the mean of its divisors is an integer number (13191255).

Almost surely, 2^401134560 is an apocalyptic number.

401134560 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 401134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633180240).

401134560 is an abundant number, since it is smaller than the sum of its proper divisors (865225920).

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

401134560 is a wasteful number, since it uses less digits than its factorization.

401134560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 401134560 is about 20028.3439155613. The cubic root of 401134560 is about 737.5022679237.

Adding to 401134560 its reverse (65431104), we get a palindrome (466565664).

The spelling of 401134560 in words is "four hundred one million, one hundred thirty-four thousand, five hundred sixty".