1557168480 has 288 divisors, whose sum is σ = 6107669568. Its totient is φ = 353894400.

The previous prime is 1557168467. The next prime is 1557168493. The reversal of 1557168480 is 848617551.

1557168480 is a `hidden beast` number, since 1 + 5 + 5 + 7 + 168 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1557168467) and next prime (1557168493).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2428960 + ... + 2429600.

It is an arithmetic number, because the mean of its divisors is an integer number (21207186).

Almost surely, 2^1557168480 is an apocalyptic number.

1557168480 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 1557168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053834784).

1557168480 is an abundant number, since it is smaller than the sum of its proper divisors (4550501088).

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

1557168480 is a wasteful number, since it uses less digits than its factorization.

1557168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 1557168480 is about 39460.9741390149. The cubic root of 1557168480 is about 1159.0758791298.

The spelling of 1557168480 in words is "one billion, five hundred fifty-seven million, one hundred sixty-eight thousand, four hundred eighty".