1043461440 has 504 divisors, whose sum is σ = 4319332992. Its totient is φ = 235146240.

The previous prime is 1043461421. The next prime is 1043461477. The reversal of 1043461440 is 441643401.

1043461440 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 614 + 40 = 666.

1043461440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14696605 + ... + 14696675.

Almost surely, 2^1043461440 is an apocalyptic number.

1043461440 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 1043461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159666496).

1043461440 is an abundant number, since it is smaller than the sum of its proper divisors (3275871552).

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

1043461440 is an frugal number, since it uses more digits than its factorization.

1043461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1043461440 is about 32302.6537609528. The cubic root of 1043461440 is about 1014.2821944881.

The spelling of 1043461440 in words is "one billion, forty-three million, four hundred sixty-one thousand, four hundred forty".