1480077144 has 384 divisors, whose sum is σ = 5331916800. Its totient is φ = 376669440.

The previous prime is 1480077133. The next prime is 1480077149. The reversal of 1480077144 is 4417700841.

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

It is a junction number, because it is equal to n+sod(n) for n = 1480077099 and 1480077108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480077149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4265179 + ... + 4265525.

It is an arithmetic number, because the mean of its divisors is an integer number (13885200).

Almost surely, 2^1480077144 is an apocalyptic number.

1480077144 is a gapful number since it is divisible by the number (14) 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 1480077144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665958400).

1480077144 is an abundant number, since it is smaller than the sum of its proper divisors (3851839656).

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

1480077144 is a wasteful number, since it uses less digits than its factorization.

1480077144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1480077144 is about 38471.7707416750. The cubic root of 1480077144 is about 1139.6236430771.

Adding to 1480077144 its reverse (4417700841), we get a palindrome (5897777985).

The spelling of 1480077144 in words is "one billion, four hundred eighty million, seventy-seven thousand, one hundred forty-four".