1431264 has 48 divisors (see below), whose sum is σ = 3982608. Its totient is φ = 448512.

The previous prime is 1431263. The next prime is 1431277. The reversal of 1431264 is 4621341.

It is a tau number, because it is divible by the number of its divisors (48).

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 1431264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431263) 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 7 ways as a sum of consecutive naturals, for example, 1194 + ... + 2070.

It is an arithmetic number, because the mean of its divisors is an integer number (82971).

2^1431264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991304).

1431264 is an abundant number, since it is smaller than the sum of its proper divisors (2551344).

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

1431264 is a wasteful number, since it uses less digits than its factorization.

1431264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 899 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 1431264 is about 1196.3544625235. The cubic root of 1431264 is about 112.6955020359.

The spelling of 1431264 in words is "one million, four hundred thirty-one thousand, two hundred sixty-four".