1264463424 has 252 divisors, whose sum is σ = 4282244928. Its totient is φ = 355622400.

The previous prime is 1264463407. The next prime is 1264463467. The reversal of 1264463424 is 4243644621.

1264463424 is a `hidden beast` number, since 1 + 2 + 644 + 6 + 3 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2003589 + ... + 2004219.

Almost surely, 2^1264463424 is an apocalyptic number.

1264463424 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 1264463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141122464).

1264463424 is an abundant number, since it is smaller than the sum of its proper divisors (3017781504).

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

1264463424 is a wasteful number, since it uses less digits than its factorization.

1264463424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 714 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 1264463424 is about 35559.2944811901. The cubic root of 1264463424 is about 1081.3561564433.

The spelling of 1264463424 in words is "one billion, two hundred sixty-four million, four hundred sixty-three thousand, four hundred twenty-four".