1456054416 has 60 divisors (see below), whose sum is σ = 4093293568. Its totient is φ = 483164352.

The previous prime is 1456054357. The next prime is 1456054421. The reversal of 1456054416 is 6144506541.

1456054416 is a `hidden beast` number, since 1 + 4 + 5 + 605 + 4 + 41 + 6 = 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 11 ways as a sum of consecutive naturals, for example, 9441 + ... + 54783.

Almost surely, 2^1456054416 is an apocalyptic number.

1456054416 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 1456054416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046646784).

1456054416 is an abundant number, since it is smaller than the sum of its proper divisors (2637239152).

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

1456054416 is a wasteful number, since it uses less digits than its factorization.

1456054416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45580 (or 45571 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1456054416 is about 38158.2810933616. The cubic root of 1456054416 is about 1133.4243413269.

The spelling of 1456054416 in words is "one billion, four hundred fifty-six million, fifty-four thousand, four hundred sixteen".