1453968 has 60 divisors (see below), whose sum is σ = 4255680. Its totient is φ = 462528.

The previous prime is 1453961. The next prime is 1453997. The reversal of 1453968 is 8693541.

It is a super-2 number, since 2×1453968² = 4228045890048, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 1 + 4⁴ + 5⁷ + 3¹² + 9⁶ + 6⁷ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (1453961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3093 + ... + 3531.

It is an arithmetic number, because the mean of its divisors is an integer number (70928).

2^1453968 is an apocalyptic number.

1453968 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 1453968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127840).

1453968 is an abundant number, since it is smaller than the sum of its proper divisors (2801712).

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

1453968 is a wasteful number, since it uses less digits than its factorization.

1453968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1453968 is about 1205.8059545383. The cubic root of 1453968 is about 113.2882712049.

The spelling of 1453968 in words is "one million, four hundred fifty-three thousand, nine hundred sixty-eight".