1505748480 has 320 divisors, whose sum is σ = 5373941760. Its totient is φ = 357433344.

The previous prime is 1505748473. The next prime is 1505748481. The reversal of 1505748480 is 848475051.

1505748480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505748481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480337 + ... + 2480943.

It is an arithmetic number, because the mean of its divisors is an integer number (16793568).

Almost surely, 2^1505748480 is an apocalyptic number.

1505748480 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 1505748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686970880).

1505748480 is an abundant number, since it is smaller than the sum of its proper divisors (3868193280).

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

1505748480 is a wasteful number, since it uses less digits than its factorization.

1505748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 1505748480 is about 38803.9750541101. The cubic root of 1505748480 is about 1146.1746822770.

The spelling of 1505748480 in words is "one billion, five hundred five million, seven hundred forty-eight thousand, four hundred eighty".