1051834464 has 192 divisors, whose sum is σ = 3199150080. Its totient is φ = 335854080.

The previous prime is 1051834457. The next prime is 1051834499. The reversal of 1051834464 is 4644381501.

1051834464 is a `hidden beast` number, since 10 + 5 + 183 + 4 + 464 = 666.

1051834464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1051834464² = 2212711479316334592, 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 31 ways as a sum of consecutive naturals, for example, 4633519 + ... + 4633745.

It is an arithmetic number, because the mean of its divisors is an integer number (16662240).

Almost surely, 2^1051834464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051834464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599575040).

1051834464 is an abundant number, since it is smaller than the sum of its proper divisors (2147315616).

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

1051834464 is a wasteful number, since it uses less digits than its factorization.

1051834464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

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

The square root of 1051834464 is about 32431.9975333004. The cubic root of 1051834464 is about 1016.9879306962.

The spelling of 1051834464 in words is "one billion, fifty-one million, eight hundred thirty-four thousand, four hundred sixty-four".