1540152480 has 96 divisors (see below), whose sum is σ = 4863196800. Its totient is φ = 409715712.

The previous prime is 1540152469. The next prime is 1540152557. The reversal of 1540152480 is 842510451.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207066 + ... + 214374.

It is an arithmetic number, because the mean of its divisors is an integer number (50658300).

Almost surely, 2^1540152480 is an apocalyptic number.

1540152480 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 1540152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431598400).

1540152480 is an abundant number, since it is smaller than the sum of its proper divisors (3323044320).

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

1540152480 is a wasteful number, since it uses less digits than its factorization.

1540152480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7766 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 1540152480 is about 39244.7764677033. The cubic root of 1540152480 is about 1154.8384624444.

The spelling of 1540152480 in words is "one billion, five hundred forty million, one hundred fifty-two thousand, four hundred eighty".