1948401 has 48 divisors (see below), whose sum is σ = 3630720. Its totient is φ = 1010880.

The previous prime is 1948369. The next prime is 1948411. The reversal of 1948401 is 1048491.

It is not a de Polignac number, because 1948401 - 2⁵ = 1948369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1948411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31911 + ... + 31971.

It is an arithmetic number, because the mean of its divisors is an integer number (75640).

2^1948401 is an apocalyptic number.

It is an amenable number.

1948401 is a deficient number, since it is larger than the sum of its proper divisors (1682319).

1948401 is a wasteful number, since it uses less digits than its factorization.

1948401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1948401 is about 1395.8513531175. The cubic root of 1948401 is about 124.8991399733.

The spelling of 1948401 in words is "one million, nine hundred forty-eight thousand, four hundred one".