1053264240 has 480 divisors, whose sum is σ = 4512568320. Its totient is φ = 214327296.

The previous prime is 1053264239. The next prime is 1053264263. The reversal of 1053264240 is 424623501.

1053264240 is a `hidden beast` number, since 10 + 5 + 3 + 2 + 642 + 4 + 0 = 666.

It is a super-2 number, since 2×1053264240² = 2218731118525555200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1627597 + ... + 1628243.

It is an arithmetic number, because the mean of its divisors is an integer number (9401184).

Almost surely, 2^1053264240 is an apocalyptic number.

1053264240 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 1053264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256284160).

1053264240 is an abundant number, since it is smaller than the sum of its proper divisors (3459304080).

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

1053264240 is a wasteful number, since it uses less digits than its factorization.

1053264240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1053264240 is about 32454.0327232225. The cubic root of 1053264240 is about 1017.4485249049.

Adding to 1053264240 its reverse (424623501), we get a palindrome (1477887741).

The spelling of 1053264240 in words is "one billion, fifty-three million, two hundred sixty-four thousand, two hundred forty".