1572540480 has 504 divisors, whose sum is σ = 6478999488. Its totient is φ = 356078592.

The previous prime is 1572540479. The next prime is 1572540551. The reversal of 1572540480 is 840452751.

1572540480 is a `hidden beast` number, since 1 + 5 + 72 + 540 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1572540480² = 4945767122477260800, which contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 14696587 + ... + 14696693.

Almost surely, 2^1572540480 is an apocalyptic number.

1572540480 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 1572540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239499744).

1572540480 is an abundant number, since it is smaller than the sum of its proper divisors (4906459008).

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

1572540480 is an frugal number, since it uses more digits than its factorization.

1572540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1572540480 is about 39655.2705198187. The cubic root of 1572540480 is about 1162.8774383149.

The spelling of 1572540480 in words is "one billion, five hundred seventy-two million, five hundred forty thousand, four hundred eighty".