1264182480 has 480 divisors, whose sum is σ = 5051105280. Its totient is φ = 279936000.

The previous prime is 1264182457. The next prime is 1264182487. The reversal of 1264182480 is 842814621.

1264182480 is a `hidden beast` number, since 1 + 2 + 641 + 8 + 2 + 4 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1264182487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4664745 + ... + 4665015.

It is an arithmetic number, because the mean of its divisors is an integer number (10523136).

Almost surely, 2^1264182480 is an apocalyptic number.

1264182480 is a gapful number since it is divisible by the number (10) 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 1264182480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525552640).

1264182480 is an abundant number, since it is smaller than the sum of its proper divisors (3786922800).

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

1264182480 is a wasteful number, since it uses less digits than its factorization.

1264182480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1264182480 is about 35555.3439021478. The cubic root of 1264182480 is about 1081.2760637018.

The spelling of 1264182480 in words is "one billion, two hundred sixty-four million, one hundred eighty-two thousand, four hundred eighty".