1505772740 has 48 divisors (see below), whose sum is σ = 3348922752. Its totient is φ = 567511296.

The previous prime is 1505772731. The next prime is 1505772787. The reversal of 1505772740 is 472775051.

It is a super-4 number, since 4×1505772740⁴ (a number of 38 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1505772694 and 1505772703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6392 + ... + 55248.

It is an arithmetic number, because the mean of its divisors is an integer number (69769224).

Almost surely, 2^1505772740 is an apocalyptic number.

1505772740 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 1505772740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674461376).

1505772740 is an abundant number, since it is smaller than the sum of its proper divisors (1843150012).

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

1505772740 is a wasteful number, since it uses less digits than its factorization.

1505772740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48956 (or 48954 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 38.

The square root of 1505772740 is about 38804.2876496915. The cubic root of 1505772740 is about 1146.1808378089.

The spelling of 1505772740 in words is "one billion, five hundred five million, seven hundred seventy-two thousand, seven hundred forty".