1466496 has 96 divisors (see below), whose sum is σ = 4508400. Its totient is φ = 456192.

The previous prime is 1466473. The next prime is 1466519. The reversal of 1466496 is 6946641.

1466496 is a `hidden beast` number, since 1 + 4 + 6 + 649 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1466473) and next prime (1466519).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1466496² = 4301221036032, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1466496.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21855 + ... + 21921.

2^1466496 is an apocalyptic number.

1466496 is a gapful number since it is divisible by the number (16) 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 1466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254200).

1466496 is an abundant number, since it is smaller than the sum of its proper divisors (3041904).

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

1466496 is a wasteful number, since it uses less digits than its factorization.

1466496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1466496 is about 1210.9896779081. The cubic root of 1466496 is about 113.6127209189.

The spelling of 1466496 in words is "one million, four hundred sixty-six thousand, four hundred ninety-six".