514725480 has 192 divisors, whose sum is σ = 1755673920. Its totient is φ = 130636800.

The previous prime is 514725383. The next prime is 514725481. The reversal of 514725480 is 84527415.

It is a super-2 number, since 2×514725480² = 529884639522460800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (514725481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634275 + ... + 635085.

It is an arithmetic number, because the mean of its divisors is an integer number (9144135).

Almost surely, 2^514725480 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 514725480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877836960).

514725480 is an abundant number, since it is smaller than the sum of its proper divisors (1240948440).

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

514725480 is a wasteful number, since it uses less digits than its factorization.

514725480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 514725480 is about 22687.5622313196. The cubic root of 514725480 is about 801.4170094567.

The spelling of 514725480 in words is "five hundred fourteen million, seven hundred twenty-five thousand, four hundred eighty".