1461264 has 40 divisors (see below), whose sum is σ = 4315200. Its totient is φ = 417408.

The previous prime is 1461211. The next prime is 1461283. The reversal of 1461264 is 4621641.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1839 + ... + 2510.

It is an arithmetic number, because the mean of its divisors is an integer number (107880).

2^1461264 is an apocalyptic number.

1461264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1461264 is an abundant number, since it is smaller than the sum of its proper divisors (2853936).

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

1461264 is a wasteful number, since it uses less digits than its factorization.

1461264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4361 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1461264 is about 1208.8275311226. The cubic root of 1461264 is about 113.4774483454.

The spelling of 1461264 in words is "one million, four hundred sixty-one thousand, two hundred sixty-four".