1480177152 has 120 divisors (see below), whose sum is σ = 4430482056. Its totient is φ = 493350912.

The previous prime is 1480177147. The next prime is 1480177183. The reversal of 1480177152 is 2517710841.

1480177152 is a `hidden beast` number, since 1 + 480 + 177 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×1480177152² = 4381848802605662208, which contains 22 as substring.

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

It is a congruent number.

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, 118468 + ... + 130364.

Almost surely, 2^1480177152 is an apocalyptic number.

1480177152 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 1480177152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215241028).

1480177152 is an abundant number, since it is smaller than the sum of its proper divisors (2950304904).

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

1480177152 is an frugal number, since it uses more digits than its factorization.

1480177152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11930 (or 11902 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 1480177152 is about 38473.0704779330. The cubic root of 1480177152 is about 1139.6493104136.

Adding to 1480177152 its reverse (2517710841), we get a palindrome (3997887993).

The spelling of 1480177152 in words is "one billion, four hundred eighty million, one hundred seventy-seven thousand, one hundred fifty-two".