1016459040 has 48 divisors (see below), whose sum is σ = 3201847488. Its totient is φ = 271055616.

The previous prime is 1016459029. The next prime is 1016459057. The reversal of 1016459040 is 409546101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 1016458989 and 1016459007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1058332 + ... + 1059291.

It is an arithmetic number, because the mean of its divisors is an integer number (66705156).

Almost surely, 2^1016459040 is an apocalyptic number.

1016459040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016459040 is an abundant number, since it is smaller than the sum of its proper divisors (2185388448).

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

1016459040 is a wasteful number, since it uses less digits than its factorization.

1016459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117641 (or 2117633 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1016459040 is about 31881.9547706849. The cubic root of 1016459040 is about 1005.4565189146.

It can be divided in two parts, 101645 and 9040, that added together give a triangular number (110685 = T₄₇₀).

The spelling of 1016459040 in words is "one billion, sixteen million, four hundred fifty-nine thousand, forty".