1264217472 has 192 divisors, whose sum is σ = 4182946560. Its totient is φ = 359009280.

The previous prime is 1264217467. The next prime is 1264217477. The reversal of 1264217472 is 2747124621.

1264217472 is a `hidden beast` number, since 1 + 2 + 642 + 1 + 7 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1264217467) and next prime (1264217477).

It is a tau number, because it is divible by the number of its divisors (192).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264217477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1701133 + ... + 1701875.

It is an arithmetic number, because the mean of its divisors is an integer number (21786180).

Almost surely, 2^1264217472 is an apocalyptic number.

1264217472 is a gapful number since it is divisible by the number (12) 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 1264217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091473280).

1264217472 is an abundant number, since it is smaller than the sum of its proper divisors (2918729088).

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

1264217472 is a wasteful number, since it uses less digits than its factorization.

1264217472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 966 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 1264217472 is about 35555.8359766720. The cubic root of 1264217472 is about 1081.2860400207.

The spelling of 1264217472 in words is "one billion, two hundred sixty-four million, two hundred seventeen thousand, four hundred seventy-two".