1045416960 has 396 divisors, whose sum is σ = 4222846368. Its totient is φ = 238436352.

The previous prime is 1045416899. The next prime is 1045416971. The reversal of 1045416960 is 696145401.

1045416960 is a `hidden beast` number, since 104 + 541 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2257689 + ... + 2258151.

Almost surely, 2^1045416960 is an apocalyptic number.

1045416960 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 1045416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111423184).

1045416960 is an abundant number, since it is smaller than the sum of its proper divisors (3177429408).

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

1045416960 is a wasteful number, since it uses less digits than its factorization.

1045416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1045416960 is about 32332.9083133578. The cubic root of 1045416960 is about 1014.9154111036.

The spelling of 1045416960 in words is "one billion, forty-five million, four hundred sixteen thousand, nine hundred sixty".