1051464960 has 864 divisors, whose sum is σ = 4821223680. Its totient is φ = 205258752.

The previous prime is 1051464929. The next prime is 1051464961. The reversal of 1051464960 is 694641501.

1051464960 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 649 + 6 + 0 = 666.

It is a super-2 number, since 2×1051464960² = 2211157124215603200, 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 not an unprimeable number, because it can be changed into a prime (1051464961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17821411 + ... + 17821469.

It is an arithmetic number, because the mean of its divisors is an integer number (5580120).

Almost surely, 2^1051464960 is an apocalyptic number.

1051464960 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 1051464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410611840).

1051464960 is an abundant number, since it is smaller than the sum of its proper divisors (3769758720).

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

1051464960 is a wasteful number, since it uses less digits than its factorization.

1051464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1051464960 is about 32426.3004365284. The cubic root of 1051464960 is about 1016.8688292174.

The spelling of 1051464960 in words is "one billion, fifty-one million, four hundred sixty-four thousand, nine hundred sixty".