1456422264 has 96 divisors (see below), whose sum is σ = 4317384240. Its totient is φ = 439872000.

The previous prime is 1456422259. The next prime is 1456422269. The reversal of 1456422264 is 4622246541.

1456422264 is a `hidden beast` number, since 1 + 4 + 5 + 642 + 2 + 2 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1456422259) and next prime (1456422269).

It is a super-2 number, since 2×1456422264² = 4242331622149771392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456422269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248164 + ... + 253964.

Almost surely, 2^1456422264 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 1456422264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158692120).

1456422264 is an abundant number, since it is smaller than the sum of its proper divisors (2860961976).

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

1456422264 is a wasteful number, since it uses less digits than its factorization.

1456422264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6134 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 1456422264 is about 38163.1008174126. The cubic root of 1456422264 is about 1133.5197802444.

The spelling of 1456422264 in words is "one billion, four hundred fifty-six million, four hundred twenty-two thousand, two hundred sixty-four".