1412964 has 90 divisors (see below), whose sum is σ = 4345110. Its totient is φ = 399168.

The previous prime is 1412947. The next prime is 1412969. The reversal of 1412964 is 4692141.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 396900 = 1008^2 + 630^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1412969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15832 + ... + 15920.

It is an arithmetic number, because the mean of its divisors is an integer number (48279).

2^1412964 is an apocalyptic number.

1412964 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 1412964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172555).

1412964 is an abundant number, since it is smaller than the sum of its proper divisors (2932146).

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

1412964 is a wasteful number, since it uses less digits than its factorization.

1412964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1412964 is about 1188.6816226391. The cubic root of 1412964 is about 112.2131358123.

The spelling of 1412964 in words is "one million, four hundred twelve thousand, nine hundred sixty-four".