514948000 has 192 divisors, whose sum is σ = 1477502208. Its totient is φ = 172723200.

The previous prime is 514947977. The next prime is 514948001. The reversal of 514948000 is 849415.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (514948001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1483827 + ... + 1484173.

It is an arithmetic number, because the mean of its divisors is an integer number (7695324).

Almost surely, 2^514948000 is an apocalyptic number.

514948000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738751104).

514948000 is an abundant number, since it is smaller than the sum of its proper divisors (962554208).

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

514948000 is a wasteful number, since it uses less digits than its factorization.

514948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 514948000 is about 22692.4657100104. The cubic root of 514948000 is about 801.5324791766.

The spelling of 514948000 in words is "five hundred fourteen million, nine hundred forty-eight thousand".