514329480 has 192 divisors, whose sum is σ = 1994544000. Its totient is φ = 117548928.

The previous prime is 514329479. The next prime is 514329511. The reversal of 514329480 is 84923415.

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 47 ways as a sum of consecutive naturals, for example, 48061 + ... + 57779.

It is an arithmetic number, because the mean of its divisors is an integer number (10388250).

Almost surely, 2^514329480 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 514329480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997272000).

514329480 is an abundant number, since it is smaller than the sum of its proper divisors (1480214520).

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

514329480 is a wasteful number, since it uses less digits than its factorization.

514329480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9753 (or 9736 counting only the distinct ones).

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

The square root of 514329480 is about 22678.8333033249. The cubic root of 514329480 is about 801.2114354376.

The spelling of 514329480 in words is "five hundred fourteen million, three hundred twenty-nine thousand, four hundred eighty".