1455840 has 96 divisors (see below), whose sum is σ = 5110560. Its totient is φ = 387072.

The previous prime is 1455833. The next prime is 1455841. The reversal of 1455840 is 485541.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4152 + ... + 4488.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

2^1455840 is an apocalyptic number.

1455840 is a gapful number since it is divisible by the number (10) 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 1455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555280).

1455840 is an abundant number, since it is smaller than the sum of its proper divisors (3654720).

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

1455840 is a wasteful number, since it uses less digits than its factorization.

1455840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1455840 is about 1206.5819491439. The cubic root of 1455840 is about 113.3368703241.

Subtracting from 1455840 its reverse (485541), we obtain a cube (970299 = 99³).

The spelling of 1455840 in words is "one million, four hundred fifty-five thousand, eight hundred forty".