1056408240 has 40 divisors (see below), whose sum is σ = 3274866288. Its totient is φ = 281708800.

The previous prime is 1056408209. The next prime is 1056408247. The reversal of 1056408240 is 428046501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1056408240² = 2231996739079795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1056408198 and 1056408207.

It is not an unprimeable number, because it can be changed into a prime (1056408247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2200611 + ... + 2201090.

Almost surely, 2^1056408240 is an apocalyptic number.

1056408240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056408240 is an abundant number, since it is smaller than the sum of its proper divisors (2218458048).

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

1056408240 is a wasteful number, since it uses less digits than its factorization.

1056408240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401717 (or 4401711 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1056408240 is about 32502.4343703668. The cubic root of 1056408240 is about 1018.4598825613.

The spelling of 1056408240 in words is "one billion, fifty-six million, four hundred eight thousand, two hundred forty".