1462880 has 48 divisors (see below), whose sum is σ = 3556224. Its totient is φ = 568320.

The previous prime is 1462873. The next prime is 1462883. The reversal of 1462880 is 882641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1462883) 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, 6449 + ... + 6671.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

2^1462880 is an apocalyptic number.

1462880 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 1462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778112).

1462880 is an abundant number, since it is smaller than the sum of its proper divisors (2093344).

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

1462880 is a wasteful number, since it uses less digits than its factorization.

1462880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1462880 is about 1209.4957627044. The cubic root of 1462880 is about 113.5192641976.

The spelling of 1462880 in words is "one million, four hundred sixty-two thousand, eight hundred eighty".