514888920 has 512 divisors, whose sum is σ = 2193408000. Its totient is φ = 105131520.

The previous prime is 514888919. The next prime is 514888921. The reversal of 514888920 is 29888415.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (514888919) and next prime (514888921).

It is a super-2 number, since 2×514888920² = 530221199877532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514888921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16609305 + ... + 16609335.

It is an arithmetic number, because the mean of its divisors is an integer number (4284000).

Almost surely, 2^514888920 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 514888920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096704000).

514888920 is an abundant number, since it is smaller than the sum of its proper divisors (1678519080).

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

514888920 is a wasteful number, since it uses less digits than its factorization.

514888920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 514888920 is about 22691.1639190236. The cubic root of 514888920 is about 801.5018247222.

The spelling of 514888920 in words is "five hundred fourteen million, eight hundred eighty-eight thousand, nine hundred twenty".