1264245600 has 288 divisors, whose sum is σ = 4417217280. Its totient is φ = 313251840.

The previous prime is 1264245589. The next prime is 1264245641. The reversal of 1264245600 is 65424621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2042091 + ... + 2042709.

It is an arithmetic number, because the mean of its divisors is an integer number (15337560).

Almost surely, 2^1264245600 is an apocalyptic number.

1264245600 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 1264245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208608640).

1264245600 is an abundant number, since it is smaller than the sum of its proper divisors (3152971680).

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

1264245600 is a wasteful number, since it uses less digits than its factorization.

1264245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1264245600 is about 35556.2315213522. The cubic root of 1264245600 is about 1081.2940592602.

It can be divided in two parts, 1264245 and 600, that added together give a triangular number (1264845 = T₁₅₉₀).

The spelling of 1264245600 in words is "one billion, two hundred sixty-four million, two hundred forty-five thousand, six hundred".