514631040 has 384 divisors, whose sum is σ = 2080408320. Its totient is φ = 105123840.

The previous prime is 514631027. The next prime is 514631063. The reversal of 514631040 is 40136415.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 514631040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8722531 + ... + 8722589.

It is an arithmetic number, because the mean of its divisors is an integer number (5417730).

Almost surely, 2^514631040 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 514631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040204160).

514631040 is an abundant number, since it is smaller than the sum of its proper divisors (1565777280).

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

514631040 is a wasteful number, since it uses less digits than its factorization.

514631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 514631040 is about 22685.4808192377. The cubic root of 514631040 is about 801.3679927448.

Adding to 514631040 its reverse (40136415), we get a palindrome (554767455).

The spelling of 514631040 in words is "five hundred fourteen million, six hundred thirty-one thousand, forty".