1505377540 has 48 divisors (see below), whose sum is σ = 3425127552. Its totient is φ = 553545216.

The previous prime is 1505377537. The next prime is 1505377553. The reversal of 1505377540 is 457735051.

It is a self number, because there is not a number n which added to its sum of digits gives 1505377540.

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, 36864 + ... + 66103.

It is an arithmetic number, because the mean of its divisors is an integer number (71356824).

Almost surely, 2^1505377540 is an apocalyptic number.

1505377540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1505377540 is an abundant number, since it is smaller than the sum of its proper divisors (1919750012).

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

1505377540 is a wasteful number, since it uses less digits than its factorization.

1505377540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103036 (or 103034 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 37.

The square root of 1505377540 is about 38799.1950947439. The cubic root of 1505377540 is about 1146.0805547916.

The spelling of 1505377540 in words is "one billion, five hundred five million, three hundred seventy-seven thousand, five hundred forty".