514268352 has 210 divisors, whose sum is σ = 1653550668. Its totient is φ = 157966848.

The previous prime is 514268341. The next prime is 514268357. The reversal of 514268352 is 253862415.

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 (514268357) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 875803 + ... + 876389.

Almost surely, 2^514268352 is an apocalyptic number.

514268352 is a gapful number since it is divisible by the number (52) 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 514268352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826775334).

514268352 is an abundant number, since it is smaller than the sum of its proper divisors (1139282316).

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

514268352 is a wasteful number, since it uses less digits than its factorization.

514268352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 605 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 514268352 is about 22677.4855749045. The cubic root of 514268352 is about 801.1796928841.

The spelling of 514268352 in words is "five hundred fourteen million, two hundred sixty-eight thousand, three hundred fifty-two".