401148 has 36 divisors (see below), whose sum is σ = 1107288. Its totient is φ = 121440.

The previous prime is 401119. The next prime is 401161. The reversal of 401148 is 841104.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 401148.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401148.

It is an unprimeable number.

401148 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (30758).

2⁴⁰¹¹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553644).

401148 is an abundant number, since it is smaller than the sum of its proper divisors (706140).

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

401148 is a wasteful number, since it uses less digits than its factorization.

401148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 401148 is about 633.3624554708. The cubic root of 401148 is about 73.7510504495.

The spelling of 401148 in words is "four hundred one thousand, one hundred forty-eight".