1052460864 has 560 divisors, whose sum is σ = 4048036608. Its totient is φ = 262766592.

The previous prime is 1052460853. The next prime is 1052460883. The reversal of 1052460864 is 4680642501.

1052460864 is a `hidden beast` number, since 10 + 524 + 60 + 8 + 64 = 666.

It is a super-2 number, since 2×1052460864² = 2215347740503252992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10850064 + ... + 10850160.

Almost surely, 2^1052460864 is an apocalyptic number.

1052460864 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 1052460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024018304).

1052460864 is an abundant number, since it is smaller than the sum of its proper divisors (2995575744).

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

1052460864 is a wasteful number, since it uses less digits than its factorization.

1052460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1052460864 is about 32441.6532254446. The cubic root of 1052460864 is about 1017.1897732371.

The spelling of 1052460864 in words is "one billion, fifty-two million, four hundred sixty thousand, eight hundred sixty-four".