1455809472 has 336 divisors, whose sum is σ = 4792919040. Its totient is φ = 419088384.

The previous prime is 1455809447. The next prime is 1455809479. The reversal of 1455809472 is 2749085541.

1455809472 is a `hidden beast` number, since 1 + 4 + 558 + 0 + 94 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455809479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13605643 + ... + 13605749.

It is an arithmetic number, because the mean of its divisors is an integer number (14264640).

Almost surely, 2^1455809472 is an apocalyptic number.

1455809472 is a gapful number since it is divisible by the number (12) 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 1455809472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396459520).

1455809472 is an abundant number, since it is smaller than the sum of its proper divisors (3337109568).

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

1455809472 is a wasteful number, since it uses less digits than its factorization.

1455809472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1455809472 is about 38155.0713798310. The cubic root of 1455809472 is about 1133.3607811884.

The spelling of 1455809472 in words is "one billion, four hundred fifty-five million, eight hundred nine thousand, four hundred seventy-two".