513942480 has 120 divisors (see below), whose sum is σ = 1730088672. Its totient is φ = 136726272.

The previous prime is 513942427. The next prime is 513942491. The reversal of 513942480 is 84249315.

513942480 is a `hidden beast` number, since 5 + 139 + 42 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566187 + ... + 567093.

Almost surely, 2^513942480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865044336).

513942480 is an abundant number, since it is smaller than the sum of its proper divisors (1216146192).

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

513942480 is a wasteful number, since it uses less digits than its factorization.

513942480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 513942480 is about 22670.2995127987. The cubic root of 513942480 is about 801.0104315811.

The spelling of 513942480 in words is "five hundred thirteen million, nine hundred forty-two thousand, four hundred eighty".