514056540 has 192 divisors, whose sum is σ = 1600953984. Its totient is φ = 122683392.

The previous prime is 514056479. The next prime is 514056541. The reversal of 514056540 is 45650415.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 514056498 and 514056507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514056541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2000092 + ... + 2000348.

It is an arithmetic number, because the mean of its divisors is an integer number (8338302).

Almost surely, 2^514056540 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 514056540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800476992).

514056540 is an abundant number, since it is smaller than the sum of its proper divisors (1086897444).

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

514056540 is a wasteful number, since it uses less digits than its factorization.

514056540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 514056540 is about 22672.8149994658. The cubic root of 514056540 is about 801.0696836669.

The spelling of 514056540 in words is "five hundred fourteen million, fifty-six thousand, five hundred forty".