514464720 has 480 divisors, whose sum is σ = 2094615936. Its totient is φ = 103219200.

The previous prime is 514464697. The next prime is 514464721. The reversal of 514464720 is 27464415.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514464721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5303712 + ... + 5303808.

Almost surely, 2^514464720 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 514464720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047307968).

514464720 is an abundant number, since it is smaller than the sum of its proper divisors (1580151216).

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

514464720 is a wasteful number, since it uses less digits than its factorization.

514464720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 514464720 is about 22681.8147422114. The cubic root of 514464720 is about 801.2816539408.

The spelling of 514464720 in words is "five hundred fourteen million, four hundred sixty-four thousand, seven hundred twenty".