1011460416 has 112 divisors (see below), whose sum is σ = 2767730304. Its totient is φ = 325748736.

The previous prime is 1011460409. The next prime is 1011460433. The reversal of 1011460416 is 6140641101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228581 + ... + 1229403.

Almost surely, 2^1011460416 is an apocalyptic number.

1011460416 is a gapful number since it is divisible by the number (16) 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 1011460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383865152).

1011460416 is an abundant number, since it is smaller than the sum of its proper divisors (1756269888).

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

1011460416 is a wasteful number, since it uses less digits than its factorization.

1011460416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1011460416 is about 31803.4654715489. The cubic root of 1011460416 is about 1003.8056374183.

The spelling of 1011460416 in words is "one billion, eleven million, four hundred sixty thousand, four hundred sixteen".