1264615440 has 320 divisors, whose sum is σ = 4551137280. Its totient is φ = 287457280.

The previous prime is 1264615421. The next prime is 1264615453. The reversal of 1264615440 is 445164621.

It is a super-2 number, since 2×1264615440² = 3198504422172787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3582304 + ... + 3582656.

It is an arithmetic number, because the mean of its divisors is an integer number (14222304).

Almost surely, 2^1264615440 is an apocalyptic number.

1264615440 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 1264615440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275568640).

1264615440 is an abundant number, since it is smaller than the sum of its proper divisors (3286521840).

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

1264615440 is a wasteful number, since it uses less digits than its factorization.

1264615440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1264615440 is about 35561.4319171768. The cubic root of 1264615440 is about 1081.3994888818.

The spelling of 1264615440 in words is "one billion, two hundred sixty-four million, six hundred fifteen thousand, four hundred forty".