1505434680 has 64 divisors (see below), whose sum is σ = 5018119200. Its totient is φ = 401448960.

The previous prime is 1505434649. The next prime is 1505434691. The reversal of 1505434680 is 864345051.

It is a happy number.

1505434680 is a `hidden beast` number, since 1 + 50 + 543 + 4 + 68 + 0 = 666.

1505434680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 695881 + ... + 698040.

Almost surely, 2^1505434680 is an apocalyptic number.

1505434680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1505434680 is an abundant number, since it is smaller than the sum of its proper divisors (3512684520).

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

1505434680 is a wasteful number, since it uses less digits than its factorization.

1505434680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393941 (or 1393931 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1505434680 is about 38799.9314432384. The cubic root of 1505434680 is about 1146.0950552990.

The spelling of 1505434680 in words is "one billion, five hundred five million, four hundred thirty-four thousand, six hundred eighty".