1455948 has 96 divisors (see below), whose sum is σ = 4374720. Its totient is φ = 414720.

The previous prime is 1455947. The next prime is 1455953. The reversal of 1455948 is 8495541.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (28800) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1455941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23838 + ... + 23898.

It is an arithmetic number, because the mean of its divisors is an integer number (45570).

2^1455948 is an apocalyptic number.

1455948 is a gapful number since it is divisible by the number (18) 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 1455948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187360).

1455948 is an abundant number, since it is smaller than the sum of its proper divisors (2918772).

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

1455948 is a wasteful number, since it uses less digits than its factorization.

1455948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1455948 is about 1206.6267028373. The cubic root of 1455948 is about 113.3396728480.

The spelling of 1455948 in words is "one million, four hundred fifty-five thousand, nine hundred forty-eight".