400148 has 24 divisors (see below), whose sum is σ = 827904. Its totient is φ = 165600.

The previous prime is 400123. The next prime is 400151. The reversal of 400148 is 841004.

It is a happy number.

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 400148.

It is an unprimeable number.

400148 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 7 ways as a sum of consecutive naturals, for example, 638 + ... + 1098.

It is an arithmetic number, because the mean of its divisors is an integer number (34496).

2⁴⁰⁰¹⁴⁸ 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 400148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413952).

400148 is an abundant number, since it is smaller than the sum of its proper divisors (427756).

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

400148 is a wasteful number, since it uses less digits than its factorization.

400148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 400148 is about 632.5725254862. The cubic root of 400148 is about 73.6897161300.

Multiplying 400148 by its sum of digits (17), we get a triangular number (6802516 = T₃₆₈₈).

The spelling of 400148 in words is "four hundred thousand, one hundred forty-eight".