1375584480 has 72 divisors (see below), whose sum is σ = 4694186952. Its totient is φ = 366822144.

The previous prime is 1375584433. The next prime is 1375584503. The reversal of 1375584480 is 844855731.

1375584480 is a `hidden beast` number, since 13 + 7 + 558 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476194 + ... + 479073.

It is an arithmetic number, because the mean of its divisors is an integer number (65197041).

Almost surely, 2^1375584480 is an apocalyptic number.

1375584480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1375584480 is an abundant number, since it is smaller than the sum of its proper divisors (3318602472).

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

1375584480 is a wasteful number, since it uses less digits than its factorization.

1375584480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955288 (or 955277 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 1375584480 is about 37088.8727248484. The cubic root of 1375584480 is about 1112.1475831932.

The spelling of 1375584480 in words is "one billion, three hundred seventy-five million, five hundred eighty-four thousand, four hundred eighty".