1480148640 has 240 divisors, whose sum is σ = 5499537120. Its totient is φ = 373870080.

The previous prime is 1480148627. The next prime is 1480148651. The reversal of 1480148640 is 468410841.

1480148640 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 1 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1480148595 and 1480148604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243235 + ... + 249245.

It is an arithmetic number, because the mean of its divisors is an integer number (22914738).

Almost surely, 2^1480148640 is an apocalyptic number.

1480148640 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 1480148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749768560).

1480148640 is an abundant number, since it is smaller than the sum of its proper divisors (4019388480).

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

1480148640 is a wasteful number, since it uses less digits than its factorization.

1480148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6057 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1480148640 is about 38472.6999312500. The cubic root of 1480148640 is about 1139.6419928459.

The spelling of 1480148640 in words is "one billion, four hundred eighty million, one hundred forty-eight thousand, six hundred forty".