1455480576 has 252 divisors, whose sum is σ = 4758615960. Its totient is φ = 440432640.

The previous prime is 1455480539. The next prime is 1455480577. The reversal of 1455480576 is 6750845541.

1455480576 is a `hidden beast` number, since 14 + 554 + 80 + 5 + 7 + 6 = 666.

It is a super-2 number, since 2×1455480576² = 4236847414226583552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455480577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2052510 + ... + 2053218.

Almost surely, 2^1455480576 is an apocalyptic number.

1455480576 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 1455480576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379307980).

1455480576 is an abundant number, since it is smaller than the sum of its proper divisors (3303135384).

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

1455480576 is an frugal number, since it uses more digits than its factorization.

1455480576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 1455480576 is about 38150.7611457491. The cubic root of 1455480576 is about 1133.2754252611.

The spelling of 1455480576 in words is "one billion, four hundred fifty-five million, four hundred eighty thousand, five hundred seventy-six".