1480864 has 48 divisors (see below), whose sum is σ = 3640896. Its totient is φ = 576000.

The previous prime is 1480861. The next prime is 1480883. The reversal of 1480864 is 4680841.

It is not an unprimeable number, because it can be changed into a prime (1480861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2164 + ... + 2764.

It is an arithmetic number, because the mean of its divisors is an integer number (75852).

2^1480864 is an apocalyptic number.

1480864 is a gapful number since it is divisible by the number (14) 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 1480864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820448).

1480864 is an abundant number, since it is smaller than the sum of its proper divisors (2160032).

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

1480864 is a wasteful number, since it uses less digits than its factorization.

1480864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 1480864 is about 1216.9075560617. The cubic root of 1480864 is about 113.9825560669.

It can be divided in two parts, 14 and 80864, that multiplied together give a square (1132096 = 1064²).

The spelling of 1480864 in words is "one million, four hundred eighty thousand, eight hundred sixty-four".