1046435040 has 144 divisors (see below), whose sum is σ = 4081135968. Its totient is φ = 239182848.

The previous prime is 1046435023. The next prime is 1046435077. The reversal of 1046435040 is 405346401.

1046435040 is a `hidden beast` number, since 10 + 4 + 643 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1046434995 and 1046435013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41827 + ... + 61986.

It is an arithmetic number, because the mean of its divisors is an integer number (28341222).

Almost surely, 2^1046435040 is an apocalyptic number.

1046435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1046435040 is an abundant number, since it is smaller than the sum of its proper divisors (3034700928).

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

1046435040 is a wasteful number, since it uses less digits than its factorization.

1046435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103841 (or 103830 counting only the distinct ones).

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

The square root of 1046435040 is about 32348.6481943218. The cubic root of 1046435040 is about 1015.2447628957.

The spelling of 1046435040 in words is "one billion, forty-six million, four hundred thirty-five thousand, forty".